212181208952004 has 288 divisors, whose sum is σ = 590140648581120. Its totient is φ = 64211690188800.

The previous prime is 212181208951997. The next prime is 212181208952029. The reversal of 212181208952004 is 400259802181212.

212181208952004 is a `hidden beast` number, since 2 + 1 + 21 + 8 + 1 + 20 + 89 + 520 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1705122172 + ... + 1705246604.

It is an arithmetic number, because the mean of its divisors is an integer number (2049099474240).

Almost surely, 2^{212181208952004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212181208952004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295070324290560).

212181208952004 is an abundant number, since it is smaller than the sum of its proper divisors (377959439629116).

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

212181208952004 is a wasteful number, since it uses less digits than its factorization.

212181208952004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124836 (or 124797 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 212181208952004 in words is "two hundred twelve trillion, one hundred eighty-one billion, two hundred eight million, nine hundred fifty-two thousand, four".