212421120 has 160 divisors (see below), whose sum is σ = 719471808. Its totient is φ = 53280768.

The previous prime is 212421119. The next prime is 212421149. The reversal of 212421120 is 21124212.

It is a tau number, because it is divible by the number of its divisors (160).

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 212421120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129747 + ... + 131373.

Almost surely, 2^212421120 is an apocalyptic number.

212421120 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 212421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359735904).

212421120 is an abundant number, since it is smaller than the sum of its proper divisors (507050688).

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

212421120 is a wasteful number, since it uses less digits than its factorization.

212421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212421120 is about 14574.6739243113. The cubic root of 212421120 is about 596.6677499989.

Adding to 212421120 its reverse (21124212), we get a palindrome (233545332).

The spelling of 212421120 in words is "two hundred twelve million, four hundred twenty-one thousand, one hundred twenty".