31042797120 has 336 divisors, whose sum is σ = 111303419760. Its totient is φ = 7931363328.

The previous prime is 31042797089. The next prime is 31042797131. The reversal of 31042797120 is 2179724013.

31042797120 is a `hidden beast` number, since 310 + 4 + 279 + 71 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3076255296 + 27966541824 = 55464^2 + 167232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11440884 + ... + 11443596.

Almost surely, 2^31042797120 is an apocalyptic number.

31042797120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651709880).

31042797120 is an abundant number, since it is smaller than the sum of its proper divisors (80260622640).

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

31042797120 is a wasteful number, since it uses less digits than its factorization.

31042797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 31042797120 in words is "thirty-one billion, forty-two million, seven hundred ninety-seven thousand, one hundred twenty".