8122496000 has 352 divisors, whose sum is σ = 22072227840. Its totient is φ = 2973696000.

The previous prime is 8122495999. The next prime is 8122496017. The reversal of 8122496000 is 6942218.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91263956 + ... + 91264044.

Almost surely, 2^8122496000 is an apocalyptic number.

8122496000 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 8122496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036113920).

8122496000 is an abundant number, since it is smaller than the sum of its proper divisors (13949731840).

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

8122496000 is a wasteful number, since it uses less digits than its factorization.

8122496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8122496000 is about 90124.8911233739. The cubic root of 8122496000 is about 2010.1563371051.

The spelling of 8122496000 in words is "eight billion, one hundred twenty-two million, four hundred ninety-six thousand".