12146728880 has 640 divisors, whose sum is σ = 37797580800. Its totient is φ = 3561062400.

The previous prime is 12146728859. The next prime is 12146728897. The reversal of 12146728880 is 8882764121.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258441017 + ... + 258441063.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^12146728880 is an apocalyptic number.

12146728880 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 12146728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

12146728880 is an abundant number, since it is smaller than the sum of its proper divisors (25650851920).

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

12146728880 is a wasteful number, since it uses less digits than its factorization.

12146728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 12146728880 in words is "twelve billion, one hundred forty-six million, seven hundred twenty-eight thousand, eight hundred eighty".