12070054080 has 448 divisors, whose sum is σ = 50785044480. Its totient is φ = 2638614528.

The previous prime is 12070053997. The next prime is 12070054081. The reversal of 12070054080 is 8045007021.

12070054080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12070054081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1386702 + ... + 1395378.

Almost surely, 2^12070054080 is an apocalyptic number.

12070054080 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 12070054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25392522240).

12070054080 is an abundant number, since it is smaller than the sum of its proper divisors (38714990400).

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

12070054080 is a wasteful number, since it uses less digits than its factorization.

12070054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12070054080 in words is "twelve billion, seventy million, fifty-four thousand, eighty".