12045797280 has 384 divisors, whose sum is σ = 47584454400. Its totient is φ = 2819174400.

The previous prime is 12045797261. The next prime is 12045797297. The reversal of 12045797280 is 8279754021.

It is a happy number.

12045797280 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 579 + 72 + 8 + 0 = 666.

It is a super-2 number, since 2×12045797280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1373710 + ... + 1382450.

It is an arithmetic number, because the mean of its divisors is an integer number (123917850).

Almost surely, 2^12045797280 is an apocalyptic number.

12045797280 is a gapful number since it is divisible by the number (10) 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 12045797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792227200).

12045797280 is an abundant number, since it is smaller than the sum of its proper divisors (35538657120).

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

12045797280 is a wasteful number, since it uses less digits than its factorization.

12045797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12045797280 in words is "twelve billion, forty-five million, seven hundred ninety-seven thousand, two hundred eighty".