12923142400 has 405 divisors, whose sum is σ = 38646828311. Its totient is φ = 4278005760.

The previous prime is 12923142389. The next prime is 12923142409. The reversal of 12923142400 is 424132921.

The square root of 12923142400 is 113680.

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 177635584 + 12745506816 = 13328^2 + 112896^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12923142409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 445625586 + ... + 445625614.

Almost surely, 2^12923142400 is an apocalyptic number.

12923142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12923142400 is the 113680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923142400

12923142400 is an abundant number, since it is smaller than the sum of its proper divisors (25723685911).

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

12923142400 is an frugal number, since it uses more digits than its factorization.

12923142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 12923142400 in words is "twelve billion, nine hundred twenty-three million, one hundred forty-two thousand, four hundred".