12001819680 has 192 divisors, whose sum is σ = 44217532800. Its totient is φ = 3032017920.

The previous prime is 12001819667. The next prime is 12001819693. The reversal of 12001819680 is 8691810021.

It is an interprime number because it is at equal distance from previous prime (12001819667) and next prime (12001819693).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8970 + ... + 155190.

It is an arithmetic number, because the mean of its divisors is an integer number (230299650).

Almost surely, 2^12001819680 is an apocalyptic number.

12001819680 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 12001819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22108766400).

12001819680 is an abundant number, since it is smaller than the sum of its proper divisors (32215713120).

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

12001819680 is a wasteful number, since it uses less digits than its factorization.

12001819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146264 (or 146250 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12001819680 in words is "twelve billion, one million, eight hundred nineteen thousand, six hundred eighty".