122401655600 has 240 divisors, whose sum is σ = 360451572480. Its totient is φ = 39006489600.

The previous prime is 122401655533. The next prime is 122401655603. The reversal of 122401655600 is 6556104221.

It is a super-2 number, since 2×122401655600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122401655603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797895 + ... + 2841305.

It is an arithmetic number, because the mean of its divisors is an integer number (1501881552).

Almost surely, 2^122401655600 is an apocalyptic number.

122401655600 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 122401655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180225786240).

122401655600 is an abundant number, since it is smaller than the sum of its proper divisors (238049916880).

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

122401655600 is a wasteful number, since it uses less digits than its factorization.

122401655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43508 (or 43497 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 122401655600 its reverse (6556104221), we get a palindrome (128957759821).

The spelling of 122401655600 in words is "one hundred twenty-two billion, four hundred one million, six hundred fifty-five thousand, six hundred".