12074495669600 has 864 divisors, whose sum is σ = 37700790120000. Its totient is φ = 3676821258240.

The previous prime is 12074495669581. The next prime is 12074495669629. The reversal of 12074495669600 is 696659447021.

It is a self number, because there is not a number n which added to its sum of digits gives 12074495669600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9667329776 + ... + 9667331024.

It is an arithmetic number, because the mean of its divisors is an integer number (43635173750).

Almost surely, 2^{12074495669600} is an apocalyptic number.

12074495669600 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 12074495669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850395060000).

12074495669600 is an abundant number, since it is smaller than the sum of its proper divisors (25626294450400).

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

12074495669600 is a wasteful number, since it uses less digits than its factorization.

12074495669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 12074495669600 in words is "twelve trillion, seventy-four billion, four hundred ninety-five million, six hundred sixty-nine thousand, six hundred".