312100020 has 96 divisors (see below), whose sum is σ = 993632640. Its totient is φ = 81285120.

The previous prime is 312100013. The next prime is 312100031. The reversal of 312100020 is 20001213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 312099975 and 312100011.

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, 16500 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (10350340).

Almost surely, 2^312100020 is an apocalyptic number.

312100020 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 312100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496816320).

312100020 is an abundant number, since it is smaller than the sum of its proper divisors (681532620).

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

312100020 is a wasteful number, since it uses less digits than its factorization.

312100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312100020 is about 17666.3527645069. The cubic root of 312100020 is about 678.3147571348.

Adding to 312100020 its reverse (20001213), we get a palindrome (332101233).

The spelling of 312100020 in words is "three hundred twelve million, one hundred thousand, twenty".