212312100 has 432 divisors, whose sum is σ = 847820736. Its totient is φ = 40320000.

The previous prime is 212312071. The next prime is 212312101. The reversal of 212312100 is 1213212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2102050 + ... + 2102150.

It is an arithmetic number, because the mean of its divisors is an integer number (1962548).

Almost surely, 2^212312100 is an apocalyptic number.

212312100 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 212312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423910368).

212312100 is an abundant number, since it is smaller than the sum of its proper divisors (635508636).

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

212312100 is a wasteful number, since it uses less digits than its factorization.

212312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212312100 is about 14570.9333949476. The cubic root of 212312100 is about 596.5656574362.

Adding to 212312100 its reverse (1213212), we get a palindrome (213525312).

The spelling of 212312100 in words is "two hundred twelve million, three hundred twelve thousand, one hundred".