212414242033200 has 120 divisors (see below), whose sum is σ = 680437251988048. Its totient is φ = 56643495690240.

The previous prime is 212414242033151. The next prime is 212414242033307. The reversal of 212414242033200 is 2330242414212.

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

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, 309085164 + ... + 309771636.

Almost surely, 2^{212414242033200} is an apocalyptic number.

212414242033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414242033200 is an abundant number, since it is smaller than the sum of its proper divisors (468023009954848).

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

212414242033200 is a wasteful number, since it uses less digits than its factorization.

212414242033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944351 (or 944340 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212414242033200 its reverse (2330242414212), we get a palindrome (214744484447412).

The spelling of 212414242033200 in words is "two hundred twelve trillion, four hundred fourteen billion, two hundred forty-two million, thirty-three thousand, two hundred".