8222249925120 has 1440 divisors, whose sum is σ = 34253639126784. Its totient is φ = 1675791237120.

The previous prime is 8222249925073. The next prime is 8222249925133. The reversal of 8222249925120 is 215299422228.

It is a super-3 number, since 3×8222249925120³ (a number of 40 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8222249925120.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2413338457 + ... + 2413341863.

Almost surely, 2^{8222249925120} is an apocalyptic number.

8222249925120 is a gapful number since it is divisible by the number (80) 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 8222249925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126819563392).

8222249925120 is an abundant number, since it is smaller than the sum of its proper divisors (26031389201664).

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

8222249925120 is a wasteful number, since it uses less digits than its factorization.

8222249925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 8222249925120 in words is "eight trillion, two hundred twenty-two billion, two hundred forty-nine million, nine hundred twenty-five thousand, one hundred twenty".