31212123102120 has 128 divisors (see below), whose sum is σ = 93973956935040. Its totient is φ = 8293229260800.

The previous prime is 31212123102023. The next prime is 31212123102133. The reversal of 31212123102120 is 2120132121213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686003212 + ... + 686048708.

It is an arithmetic number, because the mean of its divisors is an integer number (734171538555).

Almost surely, 2^{31212123102120} is an apocalyptic number.

31212123102120 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 31212123102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46986978467520).

31212123102120 is an abundant number, since it is smaller than the sum of its proper divisors (62761833832920).

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

31212123102120 is a wasteful number, since it uses less digits than its factorization.

31212123102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65995 (or 65991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31212123102120 its reverse (2120132121213), we get a palindrome (33332255223333).

The spelling of 31212123102120 in words is "thirty-one trillion, two hundred twelve billion, one hundred twenty-three million, one hundred two thousand, one hundred twenty".