12144936960 has 768 divisors, whose sum is σ = 48432384000. Its totient is φ = 2866544640.

The previous prime is 12144936959. The next prime is 12144936961. The reversal of 12144936960 is 6963944121.

It is an interprime number because it is at equal distance from previous prime (12144936959) and next prime (12144936961).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12144936961) 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, 111421386 + ... + 111421494.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 2^12144936960 is an apocalyptic number.

12144936960 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 12144936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192000).

12144936960 is an abundant number, since it is smaller than the sum of its proper divisors (36287447040).

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

12144936960 is a wasteful number, since it uses less digits than its factorization.

12144936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12144936960 in words is "twelve billion, one hundred forty-four million, nine hundred thirty-six thousand, nine hundred sixty".