212530034411424 has 144 divisors (see below), whose sum is σ = 631668654718920. Its totient is φ = 67695311093760.

The previous prime is 212530034411393. The next prime is 212530034411473. The reversal of 212530034411424 is 424114430035212.

212530034411424 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 300 + 344 + 1 + 1 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180775231591824 + 31754802819600 = 13445268^2 + 5635140^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×212530034411424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130357917 + ... + 131978204.

Almost surely, 2^{212530034411424} is an apocalyptic number.

212530034411424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212530034411424 is an abundant number, since it is smaller than the sum of its proper divisors (419138620307496).

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

212530034411424 is a wasteful number, since it uses less digits than its factorization.

212530034411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262336263 (or 262336252 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 212530034411424 its reverse (424114430035212), we get a palindrome (636644464446636).

The spelling of 212530034411424 in words is "two hundred twelve trillion, five hundred thirty billion, thirty-four million, four hundred eleven thousand, four hundred twenty-four".