12007310400 has 504 divisors, whose sum is σ = 44883689760. Its totient is φ = 3156848640.

The previous prime is 12007310351. The next prime is 12007310461. The reversal of 12007310400 is 401370021.

It is a super-3 number, since 3×12007310400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 34603027 + ... + 34603373.

It is an arithmetic number, because the mean of its divisors is an integer number (89054940).

Almost surely, 2^12007310400 is an apocalyptic number.

12007310400 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 12007310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441844880).

12007310400 is an abundant number, since it is smaller than the sum of its proper divisors (32876379360).

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

12007310400 is an equidigital number, since it uses as much as digits as its factorization.

12007310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12007310400 its reverse (401370021), we get a palindrome (12408680421).

The spelling of 12007310400 in words is "twelve billion, seven million, three hundred ten thousand, four hundred".