122220101221200 has 240 divisors, whose sum is σ = 453926637728640. Its totient is φ = 31174982277120.

The previous prime is 122220101221171. The next prime is 122220101221271. The reversal of 122220101221200 is 2122101022221.

It is a happy number.

122220101221200 is a `hidden beast` number, since 1 + 22 + 220 + 1 + 0 + 1 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 245766297 + ... + 246263096.

It is an arithmetic number, because the mean of its divisors is an integer number (1891360990536).

Almost surely, 2^{122220101221200} is an apocalyptic number.

122220101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220101221200 is an abundant number, since it is smaller than the sum of its proper divisors (331706536507440).

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

122220101221200 is a wasteful number, since it uses less digits than its factorization.

122220101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492029443 (or 492029426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220101221200 its reverse (2122101022221), we get a palindrome (124342202243421).

The spelling of 122220101221200 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred one million, two hundred twenty-one thousand, two hundred".