2224125112320 has 1664 divisors, whose sum is σ = 8913653268480. Its totient is φ = 529737449472.

The previous prime is 2224125112301. The next prime is 2224125112331. The reversal of 2224125112320 is 232115214222.

2224125112320 is a `hidden beast` number, since 2 + 2 + 2 + 412 + 5 + 11 + 232 + 0 = 666.

It is a super-3 number, since 3×2224125112320³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17512796097 + ... + 17512796223.

Almost surely, 2^{2224125112320} is an apocalyptic number.

2224125112320 is a gapful number since it is divisible by the number (20) 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 2224125112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456826634240).

2224125112320 is an abundant number, since it is smaller than the sum of its proper divisors (6689528156160).

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

2224125112320 is an equidigital number, since it uses as much as digits as its factorization.

2224125112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2224125112320 in words is "two trillion, two hundred twenty-four billion, one hundred twenty-five million, one hundred twelve thousand, three hundred twenty".