12442980000 has 480 divisors, whose sum is σ = 47187645120. Its totient is φ = 2836480000.

The previous prime is 12442979999. The next prime is 12442980001. The reversal of 12442980000 is 8924421.

It is an interprime number because it is at equal distance from previous prime (12442979999) and next prime (12442980001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12442980000.

It is not an unprimeable number, because it can be changed into a prime (12442980001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11219446 + ... + 11220554.

It is an arithmetic number, because the mean of its divisors is an integer number (98307594).

Almost surely, 2^12442980000 is an apocalyptic number.

12442980000 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 12442980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593822560).

12442980000 is an abundant number, since it is smaller than the sum of its proper divisors (34744665120).

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

12442980000 is a wasteful number, since it uses less digits than its factorization.

12442980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12442980000 in words is "twelve billion, four hundred forty-two million, nine hundred eighty thousand".