31200210000120 has 128 divisors (see below), whose sum is σ = 106974094832640. Its totient is φ = 7131346821120.

The previous prime is 31200210000101. The next prime is 31200210000191. The reversal of 31200210000120 is 2100001200213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31200210000096 and 31200210000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50388805 + ... + 51004235.

It is an arithmetic number, because the mean of its divisors is an integer number (835735115880).

Almost surely, 2^{31200210000120} is an apocalyptic number.

31200210000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200210000120 is an abundant number, since it is smaller than the sum of its proper divisors (75773884832520).

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

31200210000120 is a wasteful number, since it uses less digits than its factorization.

31200210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675805 (or 675801 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31200210000120 its reverse (2100001200213), we get a palindrome (33300211200333).

The spelling of 31200210000120 in words is "thirty-one trillion, two hundred billion, two hundred ten million, one hundred twenty", and thus it is an aban number.