212413120 has 84 divisors (see below), whose sum is σ = 519287760. Its totient is φ = 82758144.

The previous prime is 212413111. The next prime is 212413127. The reversal of 212413120 is 21314212.

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 = 212413094 and 212413103.

It is not an unprimeable number, because it can be changed into a prime (212413127) 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 11 ways as a sum of consecutive naturals, for example, 591501 + ... + 591859.

Almost surely, 2^212413120 is an apocalyptic number.

212413120 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 212413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259643880).

212413120 is an abundant number, since it is smaller than the sum of its proper divisors (306874640).

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

212413120 is an equidigital number, since it uses as much as digits as its factorization.

212413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212413120 is about 14574.3994730486. The cubic root of 212413120 is about 596.6602595291.

Adding to 212413120 its reverse (21314212), we get a palindrome (233727332).

The spelling of 212413120 in words is "two hundred twelve million, four hundred thirteen thousand, one hundred twenty".