12070840320 has 1152 divisors, whose sum is σ = 55123286400. Its totient is φ = 2508226560.

The previous prime is 12070840219. The next prime is 12070840337. The reversal of 12070840320 is 2304807021.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 1097349115 + ... + 1097349125.

It is an arithmetic number, because the mean of its divisors is an integer number (47850075).

Almost surely, 2^12070840320 is an apocalyptic number.

12070840320 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 12070840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27561643200).

12070840320 is an abundant number, since it is smaller than the sum of its proper divisors (43052446080).

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

12070840320 is an frugal number, since it uses more digits than its factorization.

12070840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

It can be divided in two parts, 120708 and 40320, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 12070840320 in words is "twelve billion, seventy million, eight hundred forty thousand, three hundred twenty".