8922120192000 has 1296 divisors, whose sum is σ = 33805034342352. Its totient is φ = 2350566604800.

The previous prime is 8922120191977. The next prime is 8922120192047. The reversal of 8922120192000 is 2910212298.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107495423959 + ... + 107495424041.

It is an arithmetic number, because the mean of its divisors is an integer number (26084131437).

Almost surely, 2^{8922120192000} is an apocalyptic number.

8922120192000 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 8922120192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902517171176).

8922120192000 is an abundant number, since it is smaller than the sum of its proper divisors (24882914150352).

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

8922120192000 is an frugal number, since it uses more digits than its factorization.

8922120192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 8922120192000 in words is "eight trillion, nine hundred twenty-two billion, one hundred twenty million, one hundred ninety-two thousand".