12225368064 has 468 divisors, whose sum is σ = 41778818016. Its totient is φ = 3113091072.

The previous prime is 12225368047. The next prime is 12225368081. The reversal of 12225368064 is 46086352221.

It is an interprime number because it is at equal distance from previous prime (12225368047) and next prime (12225368081).

It is a super-3 number, since 3×12225368064³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421564402 + ... + 421564430.

Almost surely, 2^12225368064 is an apocalyptic number.

12225368064 is a gapful number since it is divisible by the number (14) 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 12225368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889409008).

12225368064 is an abundant number, since it is smaller than the sum of its proper divisors (29553449952).

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

12225368064 is an equidigital number, since it uses as much as digits as its factorization.

12225368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 12225368064 in words is "twelve billion, two hundred twenty-five million, three hundred sixty-eight thousand, sixty-four".