12225653440 has 224 divisors, whose sum is σ = 39088917504. Its totient is φ = 3517378560.

The previous prime is 12225653431. The next prime is 12225653501. The reversal of 12225653440 is 4435652221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×12225653440³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12225653396 and 12225653405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301237 + ... + 339403.

It is an arithmetic number, because the mean of its divisors is an integer number (174504096).

Almost surely, 2^12225653440 is an apocalyptic number.

12225653440 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 12225653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544458752).

12225653440 is an abundant number, since it is smaller than the sum of its proper divisors (26863264064).

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

12225653440 is a wasteful number, since it uses less digits than its factorization.

12225653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38215 (or 38205 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 12225653440 in words is "twelve billion, two hundred twenty-five million, six hundred fifty-three thousand, four hundred forty".