12045213250812 has 1296 divisors, whose sum is σ = 40011887260800. Its totient is φ = 3041663643648.

The previous prime is 12045213250783. The next prime is 12045213250883. The reversal of 12045213250812 is 21805231254021.

12045213250812 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 2 + 132 + 508 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 80840357314 + ... + 80840357462.

It is an arithmetic number, because the mean of its divisors is an integer number (30873369800).

Almost surely, 2^{12045213250812} is an apocalyptic number.

12045213250812 is a gapful number since it is divisible by the number (12) 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 12045213250812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005943630400).

12045213250812 is an abundant number, since it is smaller than the sum of its proper divisors (27966674009988).

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

12045213250812 is a wasteful number, since it uses less digits than its factorization.

12045213250812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12045213250812 in words is "twelve trillion, forty-five billion, two hundred thirteen million, two hundred fifty thousand, eight hundred twelve".