122002675200 has 1920 divisors, whose sum is σ = 555307315200. Its totient is φ = 25639649280.

The previous prime is 122002675187. The next prime is 122002675259. The reversal of 122002675200 is 2576200221.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2595801577 + ... + 2595801623.

It is an arithmetic number, because the mean of its divisors is an integer number (289222560).

Almost surely, 2^122002675200 is an apocalyptic number.

122002675200 is a gapful number since it is divisible by the number (10) 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 122002675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277653657600).

122002675200 is an abundant number, since it is smaller than the sum of its proper divisors (433304640000).

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

122002675200 is a wasteful number, since it uses less digits than its factorization.

122002675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 122002675200 its reverse (2576200221), we get a palindrome (124578875421).

The spelling of 122002675200 in words is "one hundred twenty-two billion, two million, six hundred seventy-five thousand, two hundred".