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2122111222020 = 2232573605326681
BaseRepresentation
bin11110111000010111101…
…011111000000100000100
321111212112120122122121200
4132320113223320010010
5234232040433101040
64302515012142500
7306213615523506
oct36702753700404
97455476578550
102122111222020
11748a89509299
122a3342907a30
13125163c6842a
14749d4363d76
153a3034b5630
hex1ee17af8104

2122111222020 has 144 divisors (see below), whose sum is σ = 6526572382512. Its totient is φ = 558031196160.

The previous prime is 2122111222003. The next prime is 2122111222027. The reversal of 2122111222020 is 202221112212.

It is a happy number.

2122111222020 is a `hidden beast` number, since 212 + 211 + 1 + 2 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 841809920004 + 1280301302016 = 917502^2 + 1131504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122111221984 and 2122111222002.

It is not an unprimeable number, because it can be changed into a prime (2122111222027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79523080 + ... + 79549760.

It is an arithmetic number, because the mean of its divisors is an integer number (45323419323).

Almost surely, 22122111222020 is an apocalyptic number.

2122111222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122111222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263286191256).

2122111222020 is an abundant number, since it is smaller than the sum of its proper divisors (4404461160492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122111222020 is a wasteful number, since it uses less digits than its factorization.

2122111222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32822 (or 32817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122111222020 its reverse (202221112212), we get a palindrome (2324332334232).

The spelling of 2122111222020 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6053 6570 12106 13140 18159 24212 26681 30265 36318 53362 54477 60530 72636 80043 90795 106724 108954 121060 133405 160086 181590 217908 240129 266810 272385 320172 363180 400215 441869 480258 533620 544770 800430 883738 960516 1089540 1200645 1325607 1600860 1767476 1947713 2209345 2401290 2651214 3895426 3976821 4418690 4802580 5302428 5843139 6628035 7790852 7953642 8837380 9738565 11686278 13256070 15907284 17529417 19477130 19884105 23372556 26512140 29215695 35058834 38954260 39768210 58431390 70117668 79536420 87647085 116862780 161500093 175294170 323000186 350588340 484500279 646000372 807500465 969000558 1453500837 1615000930 1938001116 2422501395 2907001674 3230001860 4845002790 5814003348 7267504185 9690005580 11789506789 14535008370 23579013578 29070016740 35368520367 47158027156 58947533945 70737040734 106105561101 117895067890 141474081468 176842601835 212211122202 235790135780 353685203670 424422244404 530527805505 707370407340 1061055611010 2122111222020