12129542400 has 216 divisors, whose sum is σ = 40149964960. Its totient is φ = 3224862720.

The previous prime is 12129542387. The next prime is 12129542419. The reversal of 12129542400 is 424592121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8312871 + ... + 8314329.

Almost surely, 2^12129542400 is an apocalyptic number.

12129542400 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 12129542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20074982480).

12129542400 is an abundant number, since it is smaller than the sum of its proper divisors (28020422560).

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

12129542400 is a wasteful number, since it uses less digits than its factorization.

12129542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12129542400 in words is "twelve billion, one hundred twenty-nine million, five hundred forty-two thousand, four hundred".