12382034286072 has 128 divisors (see below), whose sum is σ = 34106981299200. Its totient is φ = 3714606144000.

The previous prime is 12382034286031. The next prime is 12382034286103. The reversal of 12382034286072 is 27068243028321.

12382034286072 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 2×12382034286072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377519178 + ... + 377551974.

It is an arithmetic number, because the mean of its divisors is an integer number (266460791400).

Almost surely, 2^{12382034286072} is an apocalyptic number.

12382034286072 is a gapful number since it is divisible by the number (12) 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 12382034286072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053490649600).

12382034286072 is an abundant number, since it is smaller than the sum of its proper divisors (21724947013128).

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

12382034286072 is a wasteful number, since it uses less digits than its factorization.

12382034286072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47077 (or 47073 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 12382034286072 in words is "twelve trillion, three hundred eighty-two billion, thirty-four million, two hundred eighty-six thousand, seventy-two".