122131213200 has 360 divisors, whose sum is σ = 440568343488. Its totient is φ = 31303480320.

The previous prime is 122131213199. The next prime is 122131213207. The reversal of 122131213200 is 2312131221.

122131213200 is a `hidden beast` number, since 1 + 221 + 3 + 121 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (122131213207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11050077 + ... + 11061123.

Almost surely, 2^122131213200 is an apocalyptic number.

122131213200 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 122131213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220284171744).

122131213200 is an abundant number, since it is smaller than the sum of its proper divisors (318437130288).

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

122131213200 is a wasteful number, since it uses less digits than its factorization.

122131213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122131213200 its reverse (2312131221), we get a palindrome (124443344421).

The spelling of 122131213200 in words is "one hundred twenty-two billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred".