122200101103200 has 72 divisors (see below), whose sum is σ = 397761329098728. Its totient is φ = 32586693626880.

The previous prime is 122200101103159. The next prime is 122200101103231. The reversal of 122200101103200 is 2301101002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122200101103200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25458351997 + ... + 25458356796.

It is an arithmetic number, because the mean of its divisors is an integer number (5524462904149).

Almost surely, 2^{122200101103200} is an apocalyptic number.

122200101103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200101103200 is an abundant number, since it is smaller than the sum of its proper divisors (275561227995528).

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

122200101103200 is a wasteful number, since it uses less digits than its factorization.

122200101103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50916708816 (or 50916708803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122200101103200 its reverse (2301101002221), we get a palindrome (124501202105421).

The spelling of 122200101103200 in words is "one hundred twenty-two trillion, two hundred billion, one hundred one million, one hundred three thousand, two hundred".