312120002100030 has 128 divisors (see below), whose sum is σ = 755524757145600. Its totient is φ = 82519660253184.

The previous prime is 312120002099989. The next prime is 312120002100037. The reversal of 312120002100030 is 30001200021213.

It is a super-2 number, since 2×312120002100030² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 312120002099982 and 312120002100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120002100037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22817450731 + ... + 22817464409.

It is an arithmetic number, because the mean of its divisors is an integer number (5902537165200).

Almost surely, 2^{312120002100030} is an apocalyptic number.

312120002100030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312120002100030 is an abundant number, since it is smaller than the sum of its proper divisors (443404755045570).

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

312120002100030 is a wasteful number, since it uses less digits than its factorization.

312120002100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26258.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312120002100030 its reverse (30001200021213), we get a palindrome (342121202121243).

The spelling of 312120002100030 in words is "three hundred twelve trillion, one hundred twenty billion, two million, one hundred thousand, thirty".