12102640144 has 45 divisors (see below), whose sum is σ = 27284195757. Its totient is φ = 5185525632.

The previous prime is 12102640141. The next prime is 12102640213. The reversal of 12102640144 is 44104620121.

The square root of 12102640144 is 110012.

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., 1714953744 + 10387686400 = 41412^2 + 101920^2 .

It is not an unprimeable number, because it can be changed into a prime (12102640141) 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, 3078372 + ... + 3082300.

Almost surely, 2^12102640144 is an apocalyptic number.

12102640144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12102640144 is the 110012-nd square number.

It is an amenable number.

12102640144 is an abundant number, since it is smaller than the sum of its proper divisors (15181555613).

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

12102640144 is an frugal number, since it uses more digits than its factorization.

12102640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 12102640144 by its sum of digits (25), we get a square (302566003600 = 550060²).

The spelling of 12102640144 in words is "twelve billion, one hundred two million, six hundred forty thousand, one hundred forty-four".