122045013222400 has 264 divisors, whose sum is σ = 315046472592384. Its totient is φ = 46825114828800.

The previous prime is 122045013222383. The next prime is 122045013222497. The reversal of 122045013222400 is 4222310540221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88996329 + ... + 90357271.

Almost surely, 2^{122045013222400} is an apocalyptic number.

122045013222400 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 122045013222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157523236296192).

122045013222400 is an abundant number, since it is smaller than the sum of its proper divisors (193001459369984).

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

122045013222400 is a wasteful number, since it uses less digits than its factorization.

122045013222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361117 (or 1361094 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 122045013222400 its reverse (4222310540221), we get a palindrome (126267323762621).

The spelling of 122045013222400 in words is "one hundred twenty-two trillion, forty-five billion, thirteen million, two hundred twenty-two thousand, four hundred".