12089282400 has 720 divisors, whose sum is σ = 48275910144. Its totient is φ = 2926264320.

The previous prime is 12089282363. The next prime is 12089282407. The reversal of 12089282400 is 428298021.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089282407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95191137 + ... + 95191263.

Almost surely, 2^12089282400 is an apocalyptic number.

12089282400 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 12089282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137955072).

12089282400 is an abundant number, since it is smaller than the sum of its proper divisors (36186627744).

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

12089282400 is a wasteful number, since it uses less digits than its factorization.

12089282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12089282400 in words is "twelve billion, eighty-nine million, two hundred eighty-two thousand, four hundred".