12010140319680 has 672 divisors, whose sum is σ = 44368584099840. Its totient is φ = 3089104957440.

The previous prime is 12010140319679. The next prime is 12010140319687. The reversal of 12010140319680 is 8691304101021.

12010140319680 is a `hidden beast` number, since 120 + 1 + 0 + 140 + 319 + 6 + 80 = 666.

12010140319680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010140319687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740033806 + ... + 740050034.

It is an arithmetic number, because the mean of its divisors is an integer number (66024678720).

Almost surely, 2^{12010140319680} is an apocalyptic number.

12010140319680 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 12010140319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184292049920).

12010140319680 is an abundant number, since it is smaller than the sum of its proper divisors (32358443780160).

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

12010140319680 is a wasteful number, since it uses less digits than its factorization.

12010140319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16577 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12010140319680 in words is "twelve trillion, ten billion, one hundred forty million, three hundred nineteen thousand, six hundred eighty".