12429256320 has 384 divisors, whose sum is σ = 46620887040. Its totient is φ = 3033096192.

The previous prime is 12429256309. The next prime is 12429256321. The reversal of 12429256320 is 2365292421.

12429256320 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 92 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12429256321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9509107 + ... + 9510413.

It is an arithmetic number, because the mean of its divisors is an integer number (121408560).

Almost surely, 2^12429256320 is an apocalyptic number.

12429256320 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 12429256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23310443520).

12429256320 is an abundant number, since it is smaller than the sum of its proper divisors (34191630720).

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

12429256320 is a wasteful number, since it uses less digits than its factorization.

12429256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12429256320 in words is "twelve billion, four hundred twenty-nine million, two hundred fifty-six thousand, three hundred twenty".