812123684352 has 640 divisors, whose sum is σ = 2599644326400. Its totient is φ = 249538019328.

The previous prime is 812123684341. The next prime is 812123684419. The reversal of 812123684352 is 253486321218.

812123684352 is a `hidden beast` number, since 8 + 1 + 212 + 3 + 6 + 84 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 812123684298 and 812123684307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3160014208 + ... + 3160014464.

It is an arithmetic number, because the mean of its divisors is an integer number (4061944260).

Almost surely, 2^812123684352 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 812123684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299822163200).

812123684352 is an abundant number, since it is smaller than the sum of its proper divisors (1787520642048).

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

812123684352 is a wasteful number, since it uses less digits than its factorization.

812123684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 812123684352 in words is "eight hundred twelve billion, one hundred twenty-three million, six hundred eighty-four thousand, three hundred fifty-two".