212512080 has 160 divisors (see below), whose sum is σ = 726703488. Its totient is φ = 50944000.

The previous prime is 212512073. The next prime is 212512103. The reversal of 212512080 is 80215212.

It is a happy number.

It is a super-2 number, since 2×212512080² = 90322768291852800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266242 + ... + 267038.

Almost surely, 2^212512080 is an apocalyptic number.

212512080 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 212512080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351744).

212512080 is an abundant number, since it is smaller than the sum of its proper divisors (514191408).

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

212512080 is a wasteful number, since it uses less digits than its factorization.

212512080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 212512080 is about 14577.7940718066. The cubic root of 212512080 is about 596.7529034176.

Adding to 212512080 its reverse (80215212), we get a palindrome (292727292).

The spelling of 212512080 in words is "two hundred twelve million, five hundred twelve thousand, eighty".