12990485090352 has 240 divisors, whose sum is σ = 42488407678976. Its totient is φ = 3347582515200.

The previous prime is 12990485090351. The next prime is 12990485090411. The reversal of 12990485090352 is 25309058409921.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12990485090292 and 12990485090301.

It is not an unprimeable number, because it can be changed into a prime (12990485090351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3905352 + ... + 6421272.

Almost surely, 2^{12990485090352} is an apocalyptic number.

12990485090352 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 12990485090352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244203839488).

12990485090352 is an abundant number, since it is smaller than the sum of its proper divisors (29497922588624).

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

12990485090352 is a wasteful number, since it uses less digits than its factorization.

12990485090352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516088 (or 2516071 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 12990485090352 in words is "twelve trillion, nine hundred ninety billion, four hundred eighty-five million, ninety thousand, three hundred fifty-two".