12503508160900 has 27 divisors (see below), whose sum is σ = 27132689441221. Its totient is φ = 5001389120240.

The previous prime is 12503508160877. The next prime is 12503508160909. The reversal of 12503508160900 is 906180530521.

The square root of 12503508160900 is 3536030.

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

It can be written as a sum of positive squares in only one way, i.e., 4501262937924 + 8002245222976 = 2121618^2 + 2828824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12503508160909) 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, 35183499 + ... + 35537101.

Almost surely, 2^{12503508160900} is an apocalyptic number.

12503508160900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12503508160900 is the 3536030-th square number.

It is an amenable number.

12503508160900 is an abundant number, since it is smaller than the sum of its proper divisors (14629181280321).

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

12503508160900 is an frugal number, since it uses more digits than its factorization.

12503508160900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707220 (or 353610 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 12503508160900 in words is "twelve trillion, five hundred three billion, five hundred eight million, one hundred sixty thousand, nine hundred".