122202201121000 has 256 divisors, whose sum is σ = 383937100485120. Its totient is φ = 35159074560000.

The previous prime is 122202201120953. The next prime is 122202201121003. The reversal of 122202201121000 is 121102202221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122202201121003) 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 63 ways as a sum of consecutive naturals, for example, 60039061 + ... + 62041060.

It is an arithmetic number, because the mean of its divisors is an integer number (1499754298770).

Almost surely, 2^{122202201121000} is an apocalyptic number.

122202201121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202201121000 is an abundant number, since it is smaller than the sum of its proper divisors (261734899364120).

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

122202201121000 is a wasteful number, since it uses less digits than its factorization.

122202201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122080173 (or 122080159 counting only the distinct ones).

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

Adding to 122202201121000 its reverse (121102202221), we get a palindrome (122323303323221).

The spelling of 122202201121000 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred one million, one hundred twenty-one thousand".