122022021012000 has 96 divisors (see below), whose sum is σ = 399744140874624. Its totient is φ = 32539205600000.

The previous prime is 122022021011981. The next prime is 122022021012013. The reversal of 122022021012000 is 210120220221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122022021012000² (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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5084238876 + ... + 5084262875.

It is an arithmetic number, because the mean of its divisors is an integer number (4164001467444).

Almost surely, 2^{122022021012000} is an apocalyptic number.

122022021012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022021012000 is an abundant number, since it is smaller than the sum of its proper divisors (277722119862624).

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

122022021012000 is a wasteful number, since it uses less digits than its factorization.

122022021012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168501779 (or 10168501761 counting only the distinct ones).

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

Adding to 122022021012000 its reverse (210120220221), we get a palindrome (122232141232221).

The spelling of 122022021012000 in words is "one hundred twenty-two trillion, twenty-two billion, twenty-one million, twelve thousand".