812142220176 has 960 divisors, whose sum is σ = 2962385395200. Its totient is φ = 211731480576.

The previous prime is 812142220159. The next prime is 812142220193. The reversal of 812142220176 is 671022241218.

812142220176 is a `hidden beast` number, since 8 + 1 + 21 + 422 + 201 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (812142220159) and next prime (812142220193).

It is a super-2 number, since 2×812142220176² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 812142220176.

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, 1369548136 + ... + 1369548728.

It is an arithmetic number, because the mean of its divisors is an integer number (3085818120).

Almost surely, 2^812142220176 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 812142220176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481192697600).

812142220176 is an abundant number, since it is smaller than the sum of its proper divisors (2150243175024).

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

812142220176 is a wasteful number, since it uses less digits than its factorization.

812142220176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 812142220176 in words is "eight hundred twelve billion, one hundred forty-two million, two hundred twenty thousand, one hundred seventy-six".