12002264800 has 288 divisors, whose sum is σ = 32127943680. Its totient is φ = 4364236800.

The previous prime is 12002264797. The next prime is 12002264801. The reversal of 12002264800 is 846220021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002264801) 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, 44288665 + ... + 44288935.

It is an arithmetic number, because the mean of its divisors is an integer number (111555360).

Almost surely, 2^12002264800 is an apocalyptic number.

12002264800 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 12002264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

12002264800 is an abundant number, since it is smaller than the sum of its proper divisors (20125678880).

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

12002264800 is a wasteful number, since it uses less digits than its factorization.

12002264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12002264800 its reverse (846220021), we get a palindrome (12848484821).

The spelling of 12002264800 in words is "twelve billion, two million, two hundred sixty-four thousand, eight hundred".