310012200120 has 128 divisors (see below), whose sum is σ = 1063352240640. Its totient is φ = 70829713920.

The previous prime is 310012200109. The next prime is 310012200133. The reversal of 310012200120 is 21002210013.

It is a super-2 number, since 2×310012200120² (a number of 24 digits) contains 22 as substring.

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 = 310012200096 and 310012200105.

It is a congruent number.

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, 1922539 + ... + 2077541.

It is an arithmetic number, because the mean of its divisors is an integer number (8307439380).

Almost surely, 2^310012200120 is an apocalyptic number.

310012200120 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 310012200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531676120320).

310012200120 is an abundant number, since it is smaller than the sum of its proper divisors (753340040520).

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

310012200120 is a wasteful number, since it uses less digits than its factorization.

310012200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157405 (or 157401 counting only the distinct ones).

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

Adding to 310012200120 its reverse (21002210013), we get a palindrome (331014410133).

The spelling of 310012200120 in words is "three hundred ten billion, twelve million, two hundred thousand, one hundred twenty".