212525114412000 has 384 divisors, whose sum is σ = 773975350407168. Its totient is φ = 50626328832000.

The previous prime is 212525114411963. The next prime is 212525114412071. The reversal of 212525114412000 is 214411525212.

212525114412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17137234 + ... + 26809233.

It is an arithmetic number, because the mean of its divisors is an integer number (2015560808352).

Almost surely, 2^{212525114412000} is an apocalyptic number.

212525114412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212525114412000 is an abundant number, since it is smaller than the sum of its proper divisors (561450235995168).

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

212525114412000 is a wasteful number, since it uses less digits than its factorization.

212525114412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43946539 (or 43946521 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 212525114412000 its reverse (214411525212), we get a palindrome (212739525937212).

The spelling of 212525114412000 in words is "two hundred twelve trillion, five hundred twenty-five billion, one hundred fourteen million, four hundred twelve thousand".