212120010022000 has 80 divisors (see below), whose sum is σ = 519398667964800. Its totient is φ = 83773978579200.

The previous prime is 212120010021977. The next prime is 212120010022009. The reversal of 212120010022000 is 220010021212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120010022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671107855 + ... + 671423854.

It is an arithmetic number, because the mean of its divisors is an integer number (6492483349560).

Almost surely, 2^{212120010022000} is an apocalyptic number.

212120010022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120010022000 is an abundant number, since it is smaller than the sum of its proper divisors (307278657942800).

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

212120010022000 is a wasteful number, since it uses less digits than its factorization.

212120010022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342531811 (or 1342531795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212120010022000 its reverse (220010021212), we get a palindrome (212340020043212).

The spelling of 212120010022000 in words is "two hundred twelve trillion, one hundred twenty billion, ten million, twenty-two thousand".