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10012012122 = 237260156663
BaseRepresentation
bin10010101001100001…
…10010111001011010
3221211202100220122210
421110300302321122
5131001033341442
64333252055550
7503051461500
oct112460627132
927752326583
1010012012122
114278579992
121b350045b6
13c37334b38
146ad9ac670
153d8e8219c
hex254c32e5a

10012012122 has 48 divisors (see below), whose sum is σ = 23332421952. Its totient is φ = 2855764800.

The previous prime is 10012012111. The next prime is 10012012163. The reversal of 10012012122 is 22121021001.

It is a junction number, because it is equal to n+sod(n) for n = 10012012098 and 10012012107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148363 + ... + 205025.

It is an arithmetic number, because the mean of its divisors is an integer number (486092124).

Almost surely, 210012012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11666210976).

10012012122 is an abundant number, since it is smaller than the sum of its proper divisors (13320409830).

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

10012012122 is a wasteful number, since it uses less digits than its factorization.

10012012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57283 (or 57276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012012122 its reverse (22121021001), we get a palindrome (32133033123).

The spelling of 10012012122 in words is "ten billion, twelve million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 601 1202 1803 3606 4207 8414 12621 25242 29449 56663 58898 88347 113326 169989 176694 339978 396641 793282 1189923 2379846 2776487 5552974 8329461 16658922 34054463 68108926 102163389 204326778 238381241 476762482 715143723 1430287446 1668668687 3337337374 5006006061 10012012122