7922112000 has 640 divisors, whose sum is σ = 29905514496. Its totient is φ = 1858560000.

The previous prime is 7922111999. The next prime is 7922112017. The reversal of 7922112000 is 2112297.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255551985 + ... + 255552015.

Almost surely, 2^7922112000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952757248).

7922112000 is an abundant number, since it is smaller than the sum of its proper divisors (21983402496).

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

7922112000 is an equidigital number, since it uses as much as digits as its factorization.

7922112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 7922112000 is about 89006.2469717716. The cubic root of 7922112000 is about 1993.4881542767.

Adding to 7922112000 its reverse (2112297), we get a palindrome (7924224297).

The spelling of 7922112000 in words is "seven billion, nine hundred twenty-two million, one hundred twelve thousand".