312100023120 has 160 divisors (see below), whose sum is σ = 999153966720. Its totient is φ = 80529500160.

The previous prime is 312100023101. The next prime is 312100023121. The reversal of 312100023120 is 21320001213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312100023120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100023121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1510191 + ... + 1704369.

It is an arithmetic number, because the mean of its divisors is an integer number (6244712292).

Almost surely, 2^312100023120 is an apocalyptic number.

312100023120 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 312100023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499576983360).

312100023120 is an abundant number, since it is smaller than the sum of its proper divisors (687053943600).

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

312100023120 is a wasteful number, since it uses less digits than its factorization.

312100023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194413 (or 194407 counting only the distinct ones).

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

Adding to 312100023120 its reverse (21320001213), we get a palindrome (333420024333).

The spelling of 312100023120 in words is "three hundred twelve billion, one hundred million, twenty-three thousand, one hundred twenty".