12002710720 has 672 divisors, whose sum is σ = 40191391296. Its totient is φ = 3354624000.

The previous prime is 12002710711. The next prime is 12002710751. The reversal of 12002710720 is 2701720021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12002710691 and 12002710700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118838670 + ... + 118838770.

It is an arithmetic number, because the mean of its divisors is an integer number (59808618).

Almost surely, 2^12002710720 is an apocalyptic number.

12002710720 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 12002710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20095695648).

12002710720 is an abundant number, since it is smaller than the sum of its proper divisors (28188680576).

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

12002710720 is a wasteful number, since it uses less digits than its factorization.

12002710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The spelling of 12002710720 in words is "twelve billion, two million, seven hundred ten thousand, seven hundred twenty".