12153665832 has 256 divisors, whose sum is σ = 38685081600. Its totient is φ = 3090528000.

The previous prime is 12153665831. The next prime is 12153665833. The reversal of 12153665832 is 23856635121.

It is an interprime number because it is at equal distance from previous prime (12153665831) and next prime (12153665833).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12153665831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27684669 + ... + 27685107.

It is an arithmetic number, because the mean of its divisors is an integer number (151113600).

Almost surely, 2^12153665832 is an apocalyptic number.

12153665832 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 12153665832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342540800).

12153665832 is an abundant number, since it is smaller than the sum of its proper divisors (26531415768).

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

12153665832 is a wasteful number, since it uses less digits than its factorization.

12153665832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 12153665832 in words is "twelve billion, one hundred fifty-three million, six hundred sixty-five thousand, eight hundred thirty-two".