12045057418801 has 27 divisors (see below), whose sum is σ = 13496392942977. Its totient is φ = 10741642728960.

The previous prime is 12045057418799. The next prime is 12045057418871. The reversal of 12045057418801 is 10881475054021.

The square root of 12045057418801 is 3470599.

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 2421288490401 + 9623768928400 = 1556049^2 + 3102220^2 .

It is not a de Polignac number, because 12045057418801 - 2¹ = 12045057418799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12045057418871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2023356241 + ... + 2023362193.

Almost surely, 2^{12045057418801} is an apocalyptic number.

12045057418801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12045057418801 is the 3470599-th square number.

12045057418801 is the 1735300-th centered octagonal number.

It is an amenable number.

12045057418801 is a deficient number, since it is larger than the sum of its proper divisors (1451335524176).

12045057418801 is an frugal number, since it uses more digits than its factorization.

12045057418801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12034 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 12045057418801 in words is "twelve trillion, forty-five billion, fifty-seven million, four hundred eighteen thousand, eight hundred one".