212581512 has 144 divisors (see below), whose sum is σ = 681883020. Its totient is φ = 59431680.

The previous prime is 212581487. The next prime is 212581529. The reversal of 212581512 is 215185212.

It is a happy number.

212581512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208918116 + 3663396 = 14454^2 + 1914^2 .

It is a super-2 number, since 2×212581512² = 90381798488412288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112318 + ... + 114194.

Almost surely, 2^212581512 is an apocalyptic number.

212581512 is a gapful number since it is divisible by the number (22) 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 212581512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340941510).

212581512 is an abundant number, since it is smaller than the sum of its proper divisors (469301508).

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

212581512 is a wasteful number, since it uses less digits than its factorization.

212581512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1906 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 212581512 is about 14580.1753075880. The cubic root of 212581512 is about 596.8178867604.

The spelling of 212581512 in words is "two hundred twelve million, five hundred eighty-one thousand, five hundred twelve".