31121224249600 has 243 divisors, whose sum is σ = 77749006753117. Its totient is φ = 12333346570240.

The previous prime is 31121224249561. The next prime is 31121224249603. The reversal of 31121224249600 is 694242212113.

The square root of 31121224249600 is 5578640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7179227230464 + 23941997019136 = 2679408^2 + 4893056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31121224249600.

It is not an unprimeable number, because it can be changed into a prime (31121224249603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61141894146 + ... + 61141894654.

Almost surely, 2^{31121224249600} is an apocalyptic number.

31121224249600 is the 5578640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31121224249600

31121224249600 is an abundant number, since it is smaller than the sum of its proper divisors (46627782503517).

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

31121224249600 is an frugal number, since it uses more digits than its factorization.

31121224249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 31121224249600 in words is "thirty-one trillion, one hundred twenty-one billion, two hundred twenty-four million, two hundred forty-nine thousand, six hundred".