12120276480 has 640 divisors, whose sum is σ = 45611330688. Its totient is φ = 2717908992.

The previous prime is 12120276457. The next prime is 12120276521. The reversal of 12120276480 is 8467202121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12120276480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 62799264 + ... + 62799456.

Almost surely, 2^12120276480 is an apocalyptic number.

12120276480 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 12120276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22805665344).

12120276480 is an abundant number, since it is smaller than the sum of its proper divisors (33491054208).

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

12120276480 is a wasteful number, since it uses less digits than its factorization.

12120276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12120276480 in words is "twelve billion, one hundred twenty million, two hundred seventy-six thousand, four hundred eighty".