12007980 has 96 divisors (see below), whose sum is σ = 38431680. Its totient is φ = 3110400.

The previous prime is 12007939. The next prime is 12007999. The reversal of 12007980 is 8970021.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19680 + ... + 20280.

It is an arithmetic number, because the mean of its divisors is an integer number (400330).

Almost surely, 2^12007980 is an apocalyptic number.

12007980 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 12007980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215840).

12007980 is an abundant number, since it is smaller than the sum of its proper divisors (26423700).

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

12007980 is a wasteful number, since it uses less digits than its factorization.

12007980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 12007980 is about 3465.2532374994. The cubic root of 12007980 is about 228.9935862635.

It can be divided in two parts, 1200 and 7980, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 12007980 in words is "twelve million, seven thousand, nine hundred eighty".