12351989760 has 288 divisors, whose sum is σ = 43448801760. Its totient is φ = 2993520640.

The previous prime is 12351989729. The next prime is 12351989791. The reversal of 12351989760 is 6798915321.

It is an interprime number because it is at equal distance from previous prime (12351989729) and next prime (12351989791).

It is a super-2 number, since 2×12351989760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3715459 + ... + 3718781.

It is an arithmetic number, because the mean of its divisors is an integer number (150863895).

Almost surely, 2^12351989760 is an apocalyptic number.

12351989760 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 12351989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724400880).

12351989760 is an abundant number, since it is smaller than the sum of its proper divisors (31096812000).

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

12351989760 is a wasteful number, since it uses less digits than its factorization.

12351989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 12351989760 in words is "twelve billion, three hundred fifty-one million, nine hundred eighty-nine thousand, seven hundred sixty".