122400240144 has 480 divisors, whose sum is σ = 407802470400. Its totient is φ = 30938019840.

The previous prime is 122400240139. The next prime is 122400240161. The reversal of 122400240144 is 441042004221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393569749 + ... + 393570059.

It is an arithmetic number, because the mean of its divisors is an integer number (849588480).

Almost surely, 2^122400240144 is an apocalyptic number.

122400240144 is a gapful number since it is divisible by the number (14) 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 122400240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203901235200).

122400240144 is an abundant number, since it is smaller than the sum of its proper divisors (285402230256).

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

122400240144 is a wasteful number, since it uses less digits than its factorization.

122400240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 122400240144 its reverse (441042004221), we get a palindrome (563442244365).

The spelling of 122400240144 in words is "one hundred twenty-two billion, four hundred million, two hundred forty thousand, one hundred forty-four".