122100200172 has 96 divisors (see below), whose sum is σ = 335443550400. Its totient is φ = 38275485696.

The previous prime is 122100200171. The next prime is 122100200249. The reversal of 122100200172 is 271002001221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (122100200171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340808 + ... + 2392400.

It is an arithmetic number, because the mean of its divisors is an integer number (3494203650).

Almost surely, 2^122100200172 is an apocalyptic number.

122100200172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100200172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167721775200).

122100200172 is an abundant number, since it is smaller than the sum of its proper divisors (213343350228).

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

122100200172 is a wasteful number, since it uses less digits than its factorization.

122100200172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52912 (or 52904 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 122100200172 its reverse (271002001221), we get a palindrome (393102201393).

The spelling of 122100200172 in words is "one hundred twenty-two billion, one hundred million, two hundred thousand, one hundred seventy-two".