12024258400 has 576 divisors, whose sum is σ = 38877511680. Its totient is φ = 3522355200.

The previous prime is 12024258383. The next prime is 12024258439. The reversal of 12024258400 is 485242021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94679137 + ... + 94679263.

It is an arithmetic number, because the mean of its divisors is an integer number (67495680).

Almost surely, 2^12024258400 is an apocalyptic number.

12024258400 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 12024258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438755840).

12024258400 is an abundant number, since it is smaller than the sum of its proper divisors (26853253280).

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

12024258400 is a wasteful number, since it uses less digits than its factorization.

12024258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 12024258400 in words is "twelve billion, twenty-four million, two hundred fifty-eight thousand, four hundred".