12090236366320 has 360 divisors, whose sum is σ = 33825776418000. Its totient is φ = 4007023534080.

The previous prime is 12090236366303. The next prime is 12090236366393. The reversal of 12090236366320 is 2366363209021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6400335936 + ... + 6400337824.

It is an arithmetic number, because the mean of its divisors is an integer number (93960490050).

Almost surely, 2^{12090236366320} is an apocalyptic number.

12090236366320 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 12090236366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912888209000).

12090236366320 is an abundant number, since it is smaller than the sum of its proper divisors (21735540051680).

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

12090236366320 is a wasteful number, since it uses less digits than its factorization.

12090236366320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 12090236366320 in words is "twelve trillion, ninety billion, two hundred thirty-six million, three hundred sixty-six thousand, three hundred twenty".