31228120268800 has 456 divisors, whose sum is σ = 95319470232896. Its totient is φ = 9882996572160.

The previous prime is 31228120268797. The next prime is 31228120268801. The reversal of 31228120268800 is 886202182213.

It is not an unprimeable number, because it can be changed into a prime (31228120268801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596351419 + ... + 596403781.

Almost surely, 2^{31228120268800} 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 31228120268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659735116448).

31228120268800 is an abundant number, since it is smaller than the sum of its proper divisors (64091349964096).

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

31228120268800 is an frugal number, since it uses more digits than its factorization.

31228120268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52429 (or 52390 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 31228120268800 in words is "thirty-one trillion, two hundred twenty-eight billion, one hundred twenty million, two hundred sixty-eight thousand, eight hundred".