12473823148900 has 81 divisors (see below), whose sum is σ = 27971985741483. Its totient is φ = 4828152883200.

The previous prime is 12473823148873. The next prime is 12473823148961. The reversal of 12473823148900 is 984132837421.

The square root of 12473823148900 is 3531830.

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 157597884196 + 12316225264704 = 396986^2 + 3509448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1094861604 + ... + 1094872996.

Almost surely, 2^{12473823148900} is an apocalyptic number.

12473823148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12473823148900 is the 3531830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12473823148900

12473823148900 is an abundant number, since it is smaller than the sum of its proper divisors (15498162592583).

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

12473823148900 is an frugal number, since it uses more digits than its factorization.

12473823148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22862 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 12473823148900 in words is "twelve trillion, four hundred seventy-three billion, eight hundred twenty-three million, one hundred forty-eight thousand, nine hundred".