120021022122000 has 80 divisors (see below), whose sum is σ = 386947775340672. Its totient is φ = 32005605897600.

The previous prime is 120021022121977. The next prime is 120021022122037. The reversal of 120021022122000 is 221220120021.

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

It is a super-2 number, since 2×120021022122000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10001745844 + ... + 10001757843.

Almost surely, 2^{120021022122000} is an apocalyptic number.

120021022122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021022122000 is an abundant number, since it is smaller than the sum of its proper divisors (266926753218672).

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

120021022122000 is a wasteful number, since it uses less digits than its factorization.

120021022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20003503713 (or 20003503697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120021022122000 its reverse (221220120021), we get a palindrome (120242242242021).

The spelling of 120021022122000 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand".