211212534212400 has 120 divisors (see below), whose sum is σ = 773239030042624. Its totient is φ = 48277150675200.

The previous prime is 211212534212377. The next prime is 211212534212447. The reversal of 211212534212400 is 4212435212112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211212534212400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12572166256 + ... + 12572183055.

Almost surely, 2^{211212534212400} is an apocalyptic number.

211212534212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212534212400 is an abundant number, since it is smaller than the sum of its proper divisors (562026495830224).

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

211212534212400 is a wasteful number, since it uses less digits than its factorization.

211212534212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25144349339 (or 25144349328 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 211212534212400 its reverse (4212435212112), we get a palindrome (215424969424512).

The spelling of 211212534212400 in words is "two hundred eleven trillion, two hundred twelve billion, five hundred thirty-four million, two hundred twelve thousand, four hundred".