122243214400 has 84 divisors (see below), whose sum is σ = 302711221348. Its totient is φ = 48585738240.

The previous prime is 122243214367. The next prime is 122243214421. The reversal of 122243214400 is 4412342221.

It can be written as a sum of positive squares in 6 ways, for example, as 9739321344 + 112503893056 = 98688^2 + 335416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7882 + ... + 494518.

Almost surely, 2^122243214400 is an apocalyptic number.

122243214400 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 122243214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151355610674).

122243214400 is an abundant number, since it is smaller than the sum of its proper divisors (180468006948).

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

122243214400 is a wasteful number, since it uses less digits than its factorization.

122243214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486816 (or 486801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 122243214400 its reverse (4412342221), we get a palindrome (126655556621).

The spelling of 122243214400 in words is "one hundred twenty-two billion, two hundred forty-three million, two hundred fourteen thousand, four hundred".