8212932000 has 1152 divisors, whose sum is σ = 37777259520. Its totient is φ = 1642291200.

The previous prime is 8212931989. The next prime is 8212932011. The reversal of 8212932000 is 2392128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8212931989) and next prime (8212932011).

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, 75347946 + ... + 75348054.

It is an arithmetic number, because the mean of its divisors is an integer number (32792760).

Almost surely, 2^8212932000 is an apocalyptic number.

8212932000 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 8212932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888629760).

8212932000 is an abundant number, since it is smaller than the sum of its proper divisors (29564327520).

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

8212932000 is a wasteful number, since it uses less digits than its factorization.

8212932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8212932000 is about 90625.2282755746. The cubic root of 8212932000 is about 2017.5891900519.

The spelling of 8212932000 in words is "eight billion, two hundred twelve million, nine hundred thirty-two thousand".