212442120113400 has 72 divisors (see below), whose sum is σ = 713451453386880. Its totient is φ = 56651232029760.

The previous prime is 212442120113359. The next prime is 212442120113401. The reversal of 212442120113400 is 4311021244212.

212442120113400 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 42 + 1 + 201 + 13 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442120113401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59011698232 + ... + 59011701831.

Almost surely, 2^{212442120113400} is an apocalyptic number.

212442120113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442120113400 is an abundant number, since it is smaller than the sum of its proper divisors (501009333273480).

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

212442120113400 is a wasteful number, since it uses less digits than its factorization.

212442120113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118023400085 (or 118023400073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212442120113400 its reverse (4311021244212), we get a palindrome (216753141357612).

The spelling of 212442120113400 in words is "two hundred twelve trillion, four hundred forty-two billion, one hundred twenty million, one hundred thirteen thousand, four hundred".