12070016640 has 384 divisors, whose sum is σ = 45746363520. Its totient is φ = 2908200960.

The previous prime is 12070016599. The next prime is 12070016641. The reversal of 12070016640 is 4661007021.

12070016640 = 14787² + 14788² + ... + 14841².

12070016640 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12070016641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12481437 + ... + 12482403.

It is an arithmetic number, because the mean of its divisors is an integer number (119131155).

Almost surely, 2^12070016640 is an apocalyptic number.

12070016640 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 12070016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873181760).

12070016640 is an abundant number, since it is smaller than the sum of its proper divisors (33676346880).

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

12070016640 is a wasteful number, since it uses less digits than its factorization.

12070016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12070016640 in words is "twelve billion, seventy million, sixteen thousand, six hundred forty".