12071337984 has 216 divisors, whose sum is σ = 36259619760. Its totient is φ = 4013162496.

The previous prime is 12071337973. The next prime is 12071337997. The reversal of 12071337984 is 48973317021.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×12071337984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850307 + ... + 31850685.

It is an arithmetic number, because the mean of its divisors is an integer number (167868610).

Almost surely, 2^12071337984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12071337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129809880).

12071337984 is an abundant number, since it is smaller than the sum of its proper divisors (24188281776).

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

12071337984 is an frugal number, since it uses more digits than its factorization.

12071337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12071337984 in words is "twelve billion, seventy-one million, three hundred thirty-seven thousand, nine hundred eighty-four".