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22122111102112 = 257198434977041
BaseRepresentation
bin1010000011110101101001…
…00100101110110010100000
32220022212000221220001210101
411001322310210232302200
510344422040420231422
6115014431343512144
74442161351536010
oct501726444566240
986285027801711
1022122111102112
117059a30aa422a
1225934b62b8654
13c4614c2096c8
14566a0458dc40
152856a8325c27
hex141eb492eca0

22122111102112 has 48 divisors (see below), whose sum is σ = 49777268409792. Its totient is φ = 9480425057280.

The previous prime is 22122111102061. The next prime is 22122111102121. The reversal of 22122111102112 is 21120111122122.

It is a happy number.

It is a super-2 number, since 2×221221111021122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22122111102112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1956312 + ... + 6933352.

It is an arithmetic number, because the mean of its divisors is an integer number (1037026425204).

Almost surely, 222122111102112 is an apocalyptic number.

It is an amenable number.

22122111102112 is an abundant number, since it is smaller than the sum of its proper divisors (27655157307680).

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

22122111102112 is a wasteful number, since it uses less digits than its factorization.

22122111102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996901 (or 4996893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 22122111102112 its reverse (21120111122122), we get a palindrome (43242222224234).

The spelling of 22122111102112 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 19843 39686 79372 138901 158744 277802 317488 555604 634976 1111208 2222416 4444832 4977041 9954082 19908164 34839287 39816328 69678574 79632656 139357148 159265312 278714296 557428592 1114857184 98759424563 197518849126 395037698252 691315971941 790075396504 1382631943882 1580150793008 2765263887764 3160301586016 5530527775528 11061055551056 22122111102112