8712306216000 has 672 divisors, whose sum is σ = 33362444344320. Its totient is φ = 2248321536000.

The previous prime is 8712306215947. The next prime is 8712306216011. The reversal of 8712306216000 is 6126032178.

8712306216000 is a `hidden beast` number, since 8 + 7 + 1 + 23 + 0 + 6 + 21 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60191716 + ... + 60336284.

It is an arithmetic number, because the mean of its divisors is an integer number (49646494560).

Almost surely, 2^{8712306216000} is an apocalyptic number.

8712306216000 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 8712306216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681222172160).

8712306216000 is an abundant number, since it is smaller than the sum of its proper divisors (24650138128320).

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

8712306216000 is a wasteful number, since it uses less digits than its factorization.

8712306216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144642 (or 144610 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 8712306216000 in words is "eight trillion, seven hundred twelve billion, three hundred six million, two hundred sixteen thousand".