12225254331000 has 512 divisors, whose sum is σ = 40069234483200. Its totient is φ = 3097401753600.

The previous prime is 12225254330999. The next prime is 12225254331011. The reversal of 12225254331000 is 13345252221.

12225254331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12225254331000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8210378256 + ... + 8210379744.

It is an arithmetic number, because the mean of its divisors is an integer number (78260223600).

Almost surely, 2^{12225254331000} is an apocalyptic number.

12225254331000 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 12225254331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034617241600).

12225254331000 is an abundant number, since it is smaller than the sum of its proper divisors (27843980152200).

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

12225254331000 is a wasteful number, since it uses less digits than its factorization.

12225254331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12225254331000 its reverse (13345252221), we get a palindrome (12238599583221).

The spelling of 12225254331000 in words is "twelve trillion, two hundred twenty-five billion, two hundred fifty-four million, three hundred thirty-one thousand".