31412311120 has 80 divisors (see below), whose sum is σ = 74730819600. Its totient is φ = 12275712000.

The previous prime is 31412311093. The next prime is 31412311141. The reversal of 31412311120 is 2111321413.

It can be written as a sum of positive squares in 8 ways, for example, as 6987622464 + 24424688656 = 83592^2 + 156284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705520 + ... + 748720.

It is an arithmetic number, because the mean of its divisors is an integer number (934135245).

Almost surely, 2^31412311120 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 31412311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37365409800).

31412311120 is an abundant number, since it is smaller than the sum of its proper divisors (43318508480).

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

31412311120 is a wasteful number, since it uses less digits than its factorization.

31412311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43424 (or 43418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 31412311120 its reverse (2111321413), we get a palindrome (33523632533).

The spelling of 31412311120 in words is "thirty-one billion, four hundred twelve million, three hundred eleven thousand, one hundred twenty".