822071139120 has 480 divisors, whose sum is σ = 3591681260544. Its totient is φ = 163392768000.

The previous prime is 822071139107. The next prime is 822071139157. The reversal of 822071139120 is 21931170228.

822071139120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 952770 + ... + 1597470.

Almost surely, 2^822071139120 is an apocalyptic number.

822071139120 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 822071139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795840630272).

822071139120 is an abundant number, since it is smaller than the sum of its proper divisors (2769610121424).

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

822071139120 is a wasteful number, since it uses less digits than its factorization.

822071139120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644761 (or 644752 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 822071 and 139120, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 822071139120 in words is "eight hundred twenty-two billion, seventy-one million, one hundred thirty-nine thousand, one hundred twenty".