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2212002022120 = 23511101317157019
BaseRepresentation
bin100000001100000101100…
…110000100001011101000
321211110120020001102122021
4200030011212010023220
5242220140004201440
64412102452034224
7315545320650142
oct40140546041350
97743506042567
102212002022120
11783117524930
122b884b002974
1313078b275587
14790c0957c92
153c814e7184a
hex203059842e8

2212002022120 has 128 divisors (see below), whose sum is σ = 5500548777600. Its totient is φ = 793883008000.

The previous prime is 2212002022081. The next prime is 2212002022127. The reversal of 2212002022120 is 212202002122.

It is a junction number, because it is equal to n+sod(n) for n = 2212002022094 and 2212002022103.

It is not an unprimeable number, because it can be changed into a prime (2212002022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14008971 + ... + 14165989.

It is an arithmetic number, because the mean of its divisors is an integer number (42973037325).

Almost surely, 22212002022120 is an apocalyptic number.

2212002022120 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 2212002022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750274388800).

2212002022120 is an abundant number, since it is smaller than the sum of its proper divisors (3288546755480).

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

2212002022120 is a wasteful number, since it uses less digits than its factorization.

2212002022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157459 (or 157455 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2212002022120 its reverse (212202002122), we get a palindrome (2424204024242).

The spelling of 2212002022120 in words is "two trillion, two hundred twelve billion, two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 317 404 440 505 634 808 1010 1111 1268 1585 2020 2222 2536 3170 3487 4040 4444 5555 6340 6974 8888 11110 12680 13948 17435 22220 27896 32017 34870 44440 64034 69740 128068 139480 157019 160085 256136 314038 320170 352187 628076 640340 704374 785095 1256152 1280680 1408748 1570190 1727209 1760935 2817496 3140380 3454418 3521870 6280760 6908836 7043740 8636045 13817672 14087480 15858919 17272090 31717838 34544180 49775023 63435676 69088360 79294595 99550046 126871352 158589190 174448109 199100092 248875115 317178380 348896218 398200184 497750230 547525253 634356760 697792436 872240545 995500460 1095050506 1395584872 1744481090 1991000920 2190101012 2737626265 3488962180 4380202024 5027277323 5475252530 6977924360 10054554646 10950505060 20109109292 21901010120 25136386615 40218218584 50272773230 55300050553 100545546460 110600101106 201091092920 221200202212 276500252765 442400404424 553000505530 1106001011060 2212002022120