12428036400 has 360 divisors, whose sum is σ = 44354609040. Its totient is φ = 2956953600.

The previous prime is 12428036359. The next prime is 12428036441. The reversal of 12428036400 is 463082421.

It is an interprime number because it is at equal distance from previous prime (12428036359) and next prime (12428036441).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14991186 + ... + 14992014.

Almost surely, 2^12428036400 is an apocalyptic number.

12428036400 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 12428036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22177304520).

12428036400 is an abundant number, since it is smaller than the sum of its proper divisors (31926572640).

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

12428036400 is a wasteful number, since it uses less digits than its factorization.

12428036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12428036400 in words is "twelve billion, four hundred twenty-eight million, thirty-six thousand, four hundred".