31200220232000 has 56 divisors (see below), whose sum is σ = 77267345424360. Its totient is φ = 12480088089600.

The previous prime is 31200220231997. The next prime is 31200220232003. The reversal of 31200220232000 is 23202200213.

It is an interprime number because it is at equal distance from previous prime (31200220231997) and next prime (31200220232003).

It can be written as a sum of positive squares in 4 ways, for example, as 3674919672064 + 27525300559936 = 1917008^2 + 5246456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31200220232000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200220232003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950005765 + ... + 1950021764.

It is an arithmetic number, because the mean of its divisors is an integer number (1379774025435).

Almost surely, 2^{31200220232000} is an apocalyptic number.

It is an amenable number.

31200220232000 is an abundant number, since it is smaller than the sum of its proper divisors (46067125192360).

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

31200220232000 is an equidigital number, since it uses as much as digits as its factorization.

31200220232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900027556 (or 3900027536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 31200220232000 its reverse (23202200213), we get a palindrome (31223422432213).

The spelling of 31200220232000 in words is "thirty-one trillion, two hundred billion, two hundred twenty million, two hundred thirty-two thousand".