122290260400 has 180 divisors, whose sum is σ = 372840746040. Its totient is φ = 38116377600.

The previous prime is 122290260383. The next prime is 122290260403. The reversal of 122290260400 is 4062092221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (122290260403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68005 + ... + 499204.

It is an arithmetic number, because the mean of its divisors is an integer number (2071337478).

Almost surely, 2^122290260400 is an apocalyptic number.

122290260400 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 122290260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186420373020).

122290260400 is an abundant number, since it is smaller than the sum of its proper divisors (250550485640).

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

122290260400 is a wasteful number, since it uses less digits than its factorization.

122290260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567252 (or 567234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 122290260400 in words is "one hundred twenty-two billion, two hundred ninety million, two hundred sixty thousand, four hundred".