12145351680 has 1056 divisors, whose sum is σ = 55109825280. Its totient is φ = 2508226560.

The previous prime is 12145351679. The next prime is 12145351697. The reversal of 12145351680 is 8615354121.

12145351680 is a `hidden beast` number, since 1 + 2 + 14 + 53 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 74511279 + ... + 74511441.

Almost surely, 2^12145351680 is an apocalyptic number.

12145351680 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 12145351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554912640).

12145351680 is an abundant number, since it is smaller than the sum of its proper divisors (42964473600).

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

12145351680 is a wasteful number, since it uses less digits than its factorization.

12145351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12145351680 in words is "twelve billion, one hundred forty-five million, three hundred fifty-one thousand, six hundred eighty".