122163916200 has 288 divisors, whose sum is σ = 402927068160. Its totient is φ = 30612556800.

The previous prime is 122163916153. The next prime is 122163916213. The reversal of 122163916200 is 2619361221.

It is a super-3 number, since 3×122163916200³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27505980 + ... + 27510420.

It is an arithmetic number, because the mean of its divisors is an integer number (1399052320).

Almost surely, 2^122163916200 is an apocalyptic number.

122163916200 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 122163916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201463534080).

122163916200 is an abundant number, since it is smaller than the sum of its proper divisors (280763151960).

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

122163916200 is a wasteful number, since it uses less digits than its factorization.

122163916200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 122163916200 in words is "one hundred twenty-two billion, one hundred sixty-three million, nine hundred sixteen thousand, two hundred".