122766400 has 63 divisors (see below), whose sum is σ = 303176559. Its totient is φ = 48929280.

The previous prime is 122766389. The next prime is 122766403. The reversal of 122766400 is 4667221.

The square root of 122766400 is 11080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 94633984 = 5304^2 + 9728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122766403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443062 + ... + 443338.

Almost surely, 2^122766400 is an apocalyptic number.

122766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122766400 is the 11080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122766400

122766400 is an abundant number, since it is smaller than the sum of its proper divisors (180410159).

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

122766400 is an frugal number, since it uses more digits than its factorization.

122766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The cubic root of 122766400 is about 497.0039498922.

The spelling of 122766400 in words is "one hundred twenty-two million, seven hundred sixty-six thousand, four hundred".