12090921131520 has 5760 divisors, whose sum is σ = 61424154316800. Its totient is φ = 2223960883200.

The previous prime is 12090921131483. The next prime is 12090921131521. The reversal of 12090921131520 is 2513112909021.

12090921131520 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 92 + 11 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090921131521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 390029713905 + ... + 390029713935.

It is an arithmetic number, because the mean of its divisors is an integer number (10663915680).

Almost surely, 2^{12090921131520} is an apocalyptic number.

12090921131520 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 12090921131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712077158400).

12090921131520 is an abundant number, since it is smaller than the sum of its proper divisors (49333233185280).

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

12090921131520 is a wasteful number, since it uses less digits than its factorization.

12090921131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 12090921131520 in words is "twelve trillion, ninety billion, nine hundred twenty-one million, one hundred thirty-one thousand, five hundred twenty".