31212091212120 has 768 divisors, whose sum is σ = 128304304128000. Its totient is φ = 6403344150528.

The previous prime is 31212091212101. The next prime is 31212091212167. The reversal of 31212091212120 is 2121219021213.

31212091212120 is a `hidden beast` number, since 3 + 121 + 209 + 1 + 212 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2132111761 + ... + 2132126399.

It is an arithmetic number, because the mean of its divisors is an integer number (167062896000).

Almost surely, 2^{31212091212120} is an apocalyptic number.

31212091212120 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 31212091212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152152064000).

31212091212120 is an abundant number, since it is smaller than the sum of its proper divisors (97092212915880).

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

31212091212120 is a wasteful number, since it uses less digits than its factorization.

31212091212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 31212091212120 in words is "thirty-one trillion, two hundred twelve billion, ninety-one million, two hundred twelve thousand, one hundred twenty".