122522400200 has 108 divisors (see below), whose sum is σ = 290963841315. Its totient is φ = 47981298560.

The previous prime is 122522400199. The next prime is 122522400223. The reversal of 122522400200 is 2004225221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 71855091364 + 50667308836 = 268058^2 + 225094^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247510.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 262360367 + ... + 262360833.

Almost surely, 2^122522400200 is an apocalyptic number.

122522400200 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 122522400200

122522400200 is an abundant number, since it is smaller than the sum of its proper divisors (168441441115).

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

122522400200 is an frugal number, since it uses more digits than its factorization.

122522400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 122522400200 its reverse (2004225221), we get a palindrome (124526625421).

The spelling of 122522400200 in words is "one hundred twenty-two billion, five hundred twenty-two million, four hundred thousand, two hundred".