12118782000 has 320 divisors, whose sum is σ = 42312291840. Its totient is φ = 2966400000.

The previous prime is 12118781971. The next prime is 12118782001. The reversal of 12118782000 is 28781121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12118782001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19577691 + ... + 19578309.

It is an arithmetic number, because the mean of its divisors is an integer number (132225912).

Almost surely, 2^12118782000 is an apocalyptic number.

12118782000 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 12118782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156145920).

12118782000 is an abundant number, since it is smaller than the sum of its proper divisors (30193509840).

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

12118782000 is a wasteful number, since it uses less digits than its factorization.

12118782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 12118782000 in words is "twelve billion, one hundred eighteen million, seven hundred eighty-two thousand".