122201133021000 has 192 divisors, whose sum is σ = 450588905395200. Its totient is φ = 29624517072000.

The previous prime is 122201133020951. The next prime is 122201133021013. The reversal of 122201133021000 is 120331102221.

122201133021000 is a `hidden beast` number, since 1 + 2 + 220 + 11 + 330 + 2 + 100 + 0 = 666.

It is a super-2 number, since 2×122201133021000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617078440 + ... + 617276439.

It is an arithmetic number, because the mean of its divisors is an integer number (2346817215600).

Almost surely, 2^{122201133021000} is an apocalyptic number.

122201133021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201133021000 is an abundant number, since it is smaller than the sum of its proper divisors (328387772374200).

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

122201133021000 is a wasteful number, since it uses less digits than its factorization.

122201133021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234354917 (or 1234354900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122201133021000 its reverse (120331102221), we get a palindrome (122321464123221).

The spelling of 122201133021000 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred thirty-three million, twenty-one thousand".