12090272544 has 336 divisors, whose sum is σ = 41645923200. Its totient is φ = 3452077440.

The previous prime is 12090272533. The next prime is 12090272563. The reversal of 12090272544 is 44527209021.

12090272544 is a `hidden beast` number, since 1 + 2 + 0 + 90 + 27 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12090272499 and 12090272508.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8000749 + ... + 8002259.

It is an arithmetic number, because the mean of its divisors is an integer number (123946200).

Almost surely, 2^12090272544 is an apocalyptic number.

12090272544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12090272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822961600).

12090272544 is an abundant number, since it is smaller than the sum of its proper divisors (29555650656).

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

12090272544 is an frugal number, since it uses more digits than its factorization.

12090272544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12090272544 in words is "twelve billion, ninety million, two hundred seventy-two thousand, five hundred forty-four".