312111212100 has 288 divisors, whose sum is σ = 1006732231680. Its totient is φ = 74293148160.

The previous prime is 312111212093. The next prime is 312111212113. The reversal of 312111212100 is 1212111213.

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 312111212100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8765934 + ... + 8801466.

Almost surely, 2^312111212100 is an apocalyptic number.

312111212100 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 312111212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503366115840).

312111212100 is an abundant number, since it is smaller than the sum of its proper divisors (694621019580).

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

312111212100 is a wasteful number, since it uses less digits than its factorization.

312111212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35659 (or 35652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 312111212100 its reverse (1212111213), we get a palindrome (313323323313).

The spelling of 312111212100 in words is "three hundred twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred".