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2122101121220 = 22523113110337013
BaseRepresentation
bin11110111000010111000…
…101010110000011000100
321111212111212122110220222
4132320113011112003010
5234232030341334340
64302514011443512
7306213433624223
oct36702705260304
97455455573828
102122101121220
11748a8383a423
122a333b456598
13125161b3ca22
14749d2c94cba
153a30266c8b5
hex1ee171560c4

2122101121220 has 96 divisors (see below), whose sum is σ = 4695701455872. Its totient is φ = 803997759488.

The previous prime is 2122101121201. The next prime is 2122101121279. The reversal of 2122101121220 is 221211012212.

It is a super-2 number, since 2×21221011212202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57315434 + ... + 57352446.

It is an arithmetic number, because the mean of its divisors is an integer number (48913556832).

Almost surely, 22122101121220 is an apocalyptic number.

2122101121220 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 2122101121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347850727936).

2122101121220 is an abundant number, since it is smaller than the sum of its proper divisors (2573600334652).

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

2122101121220 is a wasteful number, since it uses less digits than its factorization.

2122101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38261 (or 38259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122101121220 its reverse (221211012212), we get a palindrome (2343312133432).

The spelling of 2122101121220 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1103 1130 2206 2260 2599 4412 5198 5515 10396 11030 12995 22060 25369 25990 37013 50738 51980 74026 101476 124639 126845 148052 185065 249278 253690 370130 498556 507380 623195 740260 851299 1246390 1702598 2492780 2866697 3405196 4182469 4256495 5733394 8364938 8512990 11466788 14333485 16729876 17025980 20912345 28666970 40825339 41824690 57333940 81650678 83649380 96196787 163301356 192393574 204126695 384787148 408253390 480983935 816506780 938982797 961967870 1877965594 1923935740 3755931188 4613263307 4694913985 9226526614 9389827970 18453053228 18779655940 23066316535 46132633070 92265266140 106105056061 212210112122 424420224244 530525280305 1061050560610 2122101121220