122943744 has 405 divisors, whose sum is σ = 468740811. Its totient is φ = 31933440.

The previous prime is 122943739. The next prime is 122943767. The reversal of 122943744 is 447349221.

The square root of 122943744 is 11088.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (48384) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122943699 and 122943708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11176699 + ... + 11176709.

Almost surely, 2^122943744 is an apocalyptic number.

122943744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122943744 is the 11088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122943744

122943744 is an abundant number, since it is smaller than the sum of its proper divisors (345797067).

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

122943744 is an equidigital number, since it uses as much as digits as its factorization.

122943744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The cubic root of 122943744 is about 497.2431528578.

Multiplying 122943744 by its sum of digits (36), we get a square (4425974784 = 66528²).

122943744 divided by its sum of digits (36) gives a square (3415104 = 1848²).

The spelling of 122943744 in words is "one hundred twenty-two million, nine hundred forty-three thousand, seven hundred forty-four".