122113123200 has 288 divisors, whose sum is σ = 437329200360. Its totient is φ = 32443822080.

The previous prime is 122113123199. The next prime is 122113123241. The reversal of 122113123200 is 2321311221.

122113123200 is a `hidden beast` number, since 1 + 22 + 11 + 312 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122113123200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7969947 + ... + 7985253.

Almost surely, 2^122113123200 is an apocalyptic number.

122113123200 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 122113123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218664600180).

122113123200 is an abundant number, since it is smaller than the sum of its proper divisors (315216077160).

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

122113123200 is a wasteful number, since it uses less digits than its factorization.

122113123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15594 counting only the distinct ones).

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

Adding to 122113123200 its reverse (2321311221), we get a palindrome (124434434421).

The spelling of 122113123200 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred".