122434244044400 has 120 divisors (see below), whose sum is σ = 296445646420560. Its totient is φ = 48591631226880.

The previous prime is 122434244044397. The next prime is 122434244044423. The reversal of 122434244044400 is 4440442434221.

It is a super-2 number, since 2×122434244044400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 90344612 + ... + 91689788.

It is an arithmetic number, because the mean of its divisors is an integer number (2470380386838).

Almost surely, 2^{122434244044400} is an apocalyptic number.

122434244044400 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 122434244044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148222823210280).

122434244044400 is an abundant number, since it is smaller than the sum of its proper divisors (174011402376160).

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

122434244044400 is a wasteful number, since it uses less digits than its factorization.

122434244044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346971 (or 1346960 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 122434244044400 its reverse (4440442434221), we get a palindrome (126874686478621).

The spelling of 122434244044400 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, two hundred forty-four million, forty-four thousand, four hundred".