12276418401 has 45 divisors (see below), whose sum is σ = 19879033251. Its totient is φ = 7546741488.

The previous prime is 12276418387. The next prime is 12276418433. The reversal of 12276418401 is 10481467221.

It is a happy number.

The square root of 12276418401 is 110799.

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

12276418401 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 641 + 8 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1816038225 + 10460380176 = 42615^2 + 102276^2 .

It is not a de Polignac number, because 12276418401 - 2²⁷ = 12142200673 is a prime.

It is a super-2 number, since 2×12276418401² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12276410401) 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, 12963010 + ... + 12963956.

Almost surely, 2^12276418401 is an apocalyptic number.

12276418401 is the 110799-th square number.

12276418401 is the 55400-th centered octagonal number.

It is an amenable number.

12276418401 is a deficient number, since it is larger than the sum of its proper divisors (7602614850).

12276418401 is an frugal number, since it uses more digits than its factorization.

12276418401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 12276418401 by its sum of digits (36), we get a square (441951062436 = 664794²).

The spelling of 12276418401 in words is "twelve billion, two hundred seventy-six million, four hundred eighteen thousand, four hundred one".