123116774400 has 891 divisors, whose sum is σ = 479415287091. Its totient is φ = 30181294080.

The previous prime is 123116774387. The next prime is 123116774413. The reversal of 123116774400 is 4477611321.

The square root of 123116774400 is 350880.

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

123116774400 is a `hidden beast` number, since 1 + 23 + 1 + 167 + 74 + 400 = 666.

123116774400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123116774387) and next prime (123116774413).

It can be written as a sum of positive squares in 4 ways, for example, as 2879824896 + 120236949504 = 53664^2 + 346752^2 .

It is a super-4 number, since 4×123116774400⁴ (a number of 45 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2863180779 + ... + 2863180821.

Almost surely, 2^123116774400 is an apocalyptic number.

123116774400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123116774400 is the 350880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123116774400

123116774400 is an abundant number, since it is smaller than the sum of its proper divisors (356298512691).

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

123116774400 is a wasteful number, since it uses less digits than its factorization.

123116774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 123116774400 by its sum of digits (36), we get a square (4432203878400 = 2105280²).

123116774400 divided by its sum of digits (36) gives a square (3419910400 = 58480²).

The spelling of 123116774400 in words is "one hundred twenty-three billion, one hundred sixteen million, seven hundred seventy-four thousand, four hundred".