212100313120 has 48 divisors (see below), whose sum is σ = 501231846528. Its totient is φ = 84815599360.

The previous prime is 212100313111. The next prime is 212100313121. The reversal of 212100313120 is 21313001212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212100313094 and 212100313103.

It is not an unprimeable number, because it can be changed into a prime (212100313121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368697 + ... + 748423.

It is an arithmetic number, because the mean of its divisors is an integer number (10442330136).

Almost surely, 2^212100313120 is an apocalyptic number.

212100313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100313120 is an abundant number, since it is smaller than the sum of its proper divisors (289131533408).

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

212100313120 is a wasteful number, since it uses less digits than its factorization.

212100313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383233 (or 383225 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212100313120 its reverse (21313001212), we get a palindrome (233413314332).

The spelling of 212100313120 in words is "two hundred twelve billion, one hundred million, three hundred thirteen thousand, one hundred twenty".