12145161600 has 768 divisors, whose sum is σ = 52271654400. Its totient is φ = 2715033600.

The previous prime is 12145161593. The next prime is 12145161619. The reversal of 12145161600 is 616154121.

12145161600 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 51 + 6 + 1 + 600 = 666.

It is a super-2 number, since 2×12145161600² (a number of 21 digits) contains 22 as substring.

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, 12354709 + ... + 12355691.

It is an arithmetic number, because the mean of its divisors is an integer number (68062050).

Almost surely, 2^12145161600 is an apocalyptic number.

12145161600 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 12145161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26135827200).

12145161600 is an abundant number, since it is smaller than the sum of its proper divisors (40126492800).

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

12145161600 is a wasteful number, since it uses less digits than its factorization.

12145161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12145161600 in words is "twelve billion, one hundred forty-five million, one hundred sixty-one thousand, six hundred".