12025971360 has 1152 divisors, whose sum is σ = 51355938816. Its totient is φ = 2530344960.

The previous prime is 12025971319. The next prime is 12025971367. The reversal of 12025971360 is 6317952021.

12025971360 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 597 + 1 + 3 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12025971367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226905094 + ... + 226905146.

It is an arithmetic number, because the mean of its divisors is an integer number (44579808).

Almost surely, 2^12025971360 is an apocalyptic number.

12025971360 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 12025971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677969408).

12025971360 is an abundant number, since it is smaller than the sum of its proper divisors (39329967456).

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

12025971360 is a wasteful number, since it uses less digits than its factorization.

12025971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12025971360 in words is "twelve billion, twenty-five million, nine hundred seventy-one thousand, three hundred sixty".