212430311100 has 288 divisors, whose sum is σ = 799523827200. Its totient is φ = 47371046400.

The previous prime is 212430311039. The next prime is 212430311207. The reversal of 212430311100 is 1113034212.

212430311100 is a `hidden beast` number, since 212 + 43 + 0 + 311 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 637831 + ... + 911969.

It is an arithmetic number, because the mean of its divisors is an integer number (2776124400).

Almost surely, 2^212430311100 is an apocalyptic number.

212430311100 is a gapful number since it is divisible by the number (20) 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 212430311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399761913600).

212430311100 is an abundant number, since it is smaller than the sum of its proper divisors (587093516100).

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

212430311100 is a wasteful number, since it uses less digits than its factorization.

212430311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274210 (or 274197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212430311100 its reverse (1113034212), we get a palindrome (213543345312).

The spelling of 212430311100 in words is "two hundred twelve billion, four hundred thirty million, three hundred eleven thousand, one hundred".