12021145364592 has 800 divisors, whose sum is σ = 43283568007680. Its totient is φ = 3136380549120.

The previous prime is 12021145364587. The next prime is 12021145364593. The reversal of 12021145364592 is 29546354112021.

12021145364592 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 1 + 4 + 53 + 6 + 4 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021145364593) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5855403438 + ... + 5855405490.

Almost surely, 2^{12021145364592} is an apocalyptic number.

12021145364592 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 12021145364592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21641784003840).

12021145364592 is an abundant number, since it is smaller than the sum of its proper divisors (31262422643088).

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

12021145364592 is a wasteful number, since it uses less digits than its factorization.

12021145364592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12021145364592 in words is "twelve trillion, twenty-one billion, one hundred forty-five million, three hundred sixty-four thousand, five hundred ninety-two".