7921122560000 has 240 divisors, whose sum is σ = 21314114721900. Its totient is φ = 2924716032000.

The previous prime is 7921122559997. The next prime is 7921122560027. The reversal of 7921122560000 is 652211297.

It can be written as a sum of positive squares in 10 ways, for example, as 4051750306816 + 3869372253184 = 2012896^2 + 1967072^2 .

It is a super-2 number, since 2×7921122560000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16401986 + ... + 16878014.

Almost surely, 2^{7921122560000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921122560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657057360950).

7921122560000 is an abundant number, since it is smaller than the sum of its proper divisors (13392992161900).

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

7921122560000 is an equidigital number, since it uses as much as digits as its factorization.

7921122560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476084 (or 476049 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

Adding to 7921122560000 its reverse (652211297), we get a palindrome (7921774771297).

The spelling of 7921122560000 in words is "seven trillion, nine hundred twenty-one billion, one hundred twenty-two million, five hundred sixty thousand".