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12102122172 = 22371311099793
BaseRepresentation
bin10110100010101011…
…11011101010111100
31011020102021111122010
423101111323222330
5144241120402142
65320514251220
7605621225010
oct132125735274
934212244563
1012102122172
115150372568
122418b86b10
1311ab36c24a
1482b402540
154ac6e3e9c
hex2d157babc

12102122172 has 48 divisors (see below), whose sum is σ = 32518708992. Its totient is φ = 3431351040.

The previous prime is 12102122161. The next prime is 12102122173. The reversal of 12102122172 is 27122120121.

It is a super-2 number, since 2×121021221722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102122173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538893 + ... + 560900.

It is an arithmetic number, because the mean of its divisors is an integer number (677473104).

Almost surely, 212102122172 is an apocalyptic number.

12102122172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102122172 is an abundant number, since it is smaller than the sum of its proper divisors (20416586820).

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

12102122172 is a wasteful number, since it uses less digits than its factorization.

12102122172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099938 (or 1099936 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 12102122172 its reverse (27122120121), we get a palindrome (39224242293).

The spelling of 12102122172 in words is "twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 1099793 2199586 3299379 4399172 6598758 7698551 13197516 15397102 23095653 30794204 46191306 92382612 144072883 288145766 432218649 576291532 864437298 1008510181 1728874596 2017020362 3025530543 4034040724 6051061086 12102122172