31414244412200 has 48 divisors (see below), whose sum is σ = 78656435053980. Its totient is φ = 11599105628160.

The previous prime is 31414244412191. The next prime is 31414244412209. The reversal of 31414244412200 is 221444241413.

It is an interprime number because it is at equal distance from previous prime (31414244412191) and next prime (31414244412209).

It can be written as a sum of positive squares in 6 ways, for example, as 15550608617476 + 15863635794724 = 3943426^2 + 3982918^2 .

It is not an unprimeable number, because it can be changed into a prime (31414244412209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6041198249 + ... + 6041203448.

Almost surely, 2^{31414244412200} is an apocalyptic number.

It is an amenable number.

31414244412200 is an abundant number, since it is smaller than the sum of its proper divisors (47242190641780).

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

31414244412200 is a wasteful number, since it uses less digits than its factorization.

31414244412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082401726 (or 12082401717 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 31414244412200 its reverse (221444241413), we get a palindrome (31635688653613).

The spelling of 31414244412200 in words is "thirty-one trillion, four hundred fourteen billion, two hundred forty-four million, four hundred twelve thousand, two hundred".