12074177931000 has 256 divisors, whose sum is σ = 39684273408000. Its totient is φ = 3048000883200.

The previous prime is 12074177930977. The next prime is 12074177931001. The reversal of 12074177931000 is 13977147021.

It is a super-2 number, since 2×12074177931000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12074177931001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75559186 + ... + 75718814.

It is an arithmetic number, because the mean of its divisors is an integer number (155016693000).

Almost surely, 2^{12074177931000} is an apocalyptic number.

12074177931000 is a gapful number since it is divisible by the number (10) 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 12074177931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842136704000).

12074177931000 is an abundant number, since it is smaller than the sum of its proper divisors (27610095477000).

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

12074177931000 is a wasteful number, since it uses less digits than its factorization.

12074177931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160999 (or 160985 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 12074177931000 in words is "twelve trillion, seventy-four billion, one hundred seventy-seven million, nine hundred thirty-one thousand".