12006615720 has 128 divisors (see below), whose sum is σ = 39326394240. Its totient is φ = 2908323840.

The previous prime is 12006615713. The next prime is 12006615737. The reversal of 12006615720 is 2751660021.

12006615720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12006615720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047032 + ... + 2052888.

It is an arithmetic number, because the mean of its divisors is an integer number (307237455).

Almost surely, 2^12006615720 is an apocalyptic number.

12006615720 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 12006615720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663197120).

12006615720 is an abundant number, since it is smaller than the sum of its proper divisors (27319778520).

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

12006615720 is a wasteful number, since it uses less digits than its factorization.

12006615720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

It can be divided in two parts, 12006 and 615720, that added together give a palindrome (627726).

The spelling of 12006615720 in words is "twelve billion, six million, six hundred fifteen thousand, seven hundred twenty".