12082961280 has 256 divisors, whose sum is σ = 41896491840. Its totient is φ = 2944204800.

The previous prime is 12082961269. The next prime is 12082961287. The reversal of 12082961280 is 8216928021.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082961287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518564 + ... + 2523356.

Almost surely, 2^12082961280 is an apocalyptic number.

12082961280 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 12082961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20948245920).

12082961280 is an abundant number, since it is smaller than the sum of its proper divisors (29813530560).

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

12082961280 is a wasteful number, since it uses less digits than its factorization.

12082961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12082961280 in words is "twelve billion, eighty-two million, nine hundred sixty-one thousand, two hundred eighty".