31868682120 has 768 divisors, whose sum is σ = 126097171200. Its totient is φ = 7153090560.

The previous prime is 31868682107. The next prime is 31868682169. The reversal of 31868682120 is 2128686813.

31868682120 is a `hidden beast` number, since 318 + 68 + 68 + 212 + 0 = 666.

It is a super-2 number, since 2×31868682120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161769862 + ... + 161770058.

It is an arithmetic number, because the mean of its divisors is an integer number (164189025).

Almost surely, 2^31868682120 is an apocalyptic number.

31868682120 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 31868682120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63048585600).

31868682120 is an abundant number, since it is smaller than the sum of its proper divisors (94228489080).

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

31868682120 is a wasteful number, since it uses less digits than its factorization.

31868682120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 31868682120 in words is "thirty-one billion, eight hundred sixty-eight million, six hundred eighty-two thousand, one hundred twenty".