12929768162190 has 384 divisors, whose sum is σ = 37267021209600. Its totient is φ = 3084233241600.

The previous prime is 12929768162183. The next prime is 12929768162237. The reversal of 12929768162190 is 9126186792921.

12929768162190 is a `hidden beast` number, since 1 + 29 + 297 + 6 + 81 + 62 + 190 = 666.

It is a super-2 number, since 2×12929768162190² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14982349699 + ... + 14982350561.

It is an arithmetic number, because the mean of its divisors is an integer number (97049534400).

Almost surely, 2^{12929768162190} is an apocalyptic number.

12929768162190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12929768162190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633510604800).

12929768162190 is an abundant number, since it is smaller than the sum of its proper divisors (24337253047410).

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

12929768162190 is a wasteful number, since it uses less digits than its factorization.

12929768162190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 12929768162190 in words is "twelve trillion, nine hundred twenty-nine billion, seven hundred sixty-eight million, one hundred sixty-two thousand, one hundred ninety".