202122011122000 has 80 divisors (see below), whose sum is σ = 517479906679632. Its totient is φ = 76092992409600.

The previous prime is 202122011121971. The next prime is 202122011122001. The reversal of 202122011122000 is 221110221202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94669630748224 + 107452380373776 = 9729832^2 + 10365924^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122011122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2972348517 + ... + 2972416516.

Almost surely, 2^{202122011122000} is an apocalyptic number.

202122011122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122011122000 is an abundant number, since it is smaller than the sum of its proper divisors (315357895557632).

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

202122011122000 is a wasteful number, since it uses less digits than its factorization.

202122011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944765073 (or 5944765057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202122011122000 its reverse (221110221202), we get a palindrome (202343121343202).

The spelling of 202122011122000 in words is "two hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand".