92222013312000 has 4224 divisors, whose sum is σ = 409481027923968. Its totient is φ = 19657064448000.

The previous prime is 92222013311933. The next prime is 92222013312103. The reversal of 92222013312000 is 21331022229.

92222013312000 is a `hidden beast` number, since 9 + 222 + 201 + 3 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332931455862 + ... + 332931456138.

It is an arithmetic number, because the mean of its divisors is an integer number (96941531232).

Almost surely, 2^{92222013312000} is an apocalyptic number.

92222013312000 is a gapful number since it is divisible by the number (90) 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 92222013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204740513961984).

92222013312000 is an abundant number, since it is smaller than the sum of its proper divisors (317259014611968).

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

92222013312000 is a wasteful number, since it uses less digits than its factorization.

92222013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 92222013312000 its reverse (21331022229), we get a palindrome (92243344334229).

The spelling of 92222013312000 in words is "ninety-two trillion, two hundred twenty-two billion, thirteen million, three hundred twelve thousand".