122000221221200 has 240 divisors, whose sum is σ = 367938951352320. Its totient is φ = 37904220034560.

The previous prime is 122000221221157. The next prime is 122000221221211. The reversal of 122000221221200 is 2122122000221.

It is a happy number.

It is a congruent number.

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, 48629384 + ... + 51076583.

It is an arithmetic number, because the mean of its divisors is an integer number (1533078963968).

Almost surely, 2^{122000221221200} is an apocalyptic number.

122000221221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000221221200 is an abundant number, since it is smaller than the sum of its proper divisors (245938730131120).

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

122000221221200 is a wasteful number, since it uses less digits than its factorization.

122000221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99706034 (or 99706023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122000221221200 its reverse (2122122000221), we get a palindrome (124122343221421).

The spelling of 122000221221200 in words is "one hundred twenty-two trillion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".