9120219204096 has 1920 divisors, whose sum is σ = 37230813075456. Its totient is φ = 2152058388480.

The previous prime is 9120219203993. The next prime is 9120219204113. The reversal of 9120219204096 is 6904029120219.

9120219204096 is a `hidden beast` number, since 9 + 1 + 2 + 0 + 219 + 20 + 409 + 6 = 666.

It is a super-2 number, since 2×9120219204096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8344207326 + ... + 8344208418.

Almost surely, 2^{9120219204096} is an apocalyptic number.

9120219204096 is a gapful number since it is divisible by the number (96) 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 9120219204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615406537728).

9120219204096 is an abundant number, since it is smaller than the sum of its proper divisors (28110593871360).

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

9120219204096 is a wasteful number, since it uses less digits than its factorization.

9120219204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 9120219204096 in words is "nine trillion, one hundred twenty billion, two hundred nineteen million, two hundred four thousand, ninety-six".