12263283200 has 480 divisors, whose sum is σ = 37592843904. Its totient is φ = 3869245440.

The previous prime is 12263283199. The next prime is 12263283209. The reversal of 12263283200 is 238236221.

It is a super-2 number, since 2×12263283200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12263283209) 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, 126425552 + ... + 126425648.

Almost surely, 2^12263283200 is an apocalyptic number.

12263283200 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 12263283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796421952).

12263283200 is an abundant number, since it is smaller than the sum of its proper divisors (25329560704).

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

12263283200 is an equidigital number, since it uses as much as digits as its factorization.

12263283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 12263283200 in words is "twelve billion, two hundred sixty-three million, two hundred eighty-three thousand, two hundred".