12129848640 has 672 divisors, whose sum is σ = 53041637376. Its totient is φ = 2475048960.

The previous prime is 12129848579. The next prime is 12129848641. The reversal of 12129848640 is 4684892121.

12129848640 is a `hidden beast` number, since 1 + 2 + 129 + 8 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129848641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8123734 + ... + 8125226.

It is an arithmetic number, because the mean of its divisors is an integer number (78931008).

Almost surely, 2^12129848640 is an apocalyptic number.

12129848640 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 12129848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520818688).

12129848640 is an abundant number, since it is smaller than the sum of its proper divisors (40911788736).

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

12129848640 is a wasteful number, since it uses less digits than its factorization.

12129848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12129848640 in words is "twelve billion, one hundred twenty-nine million, eight hundred forty-eight thousand, six hundred forty".