822120000 has 560 divisors, whose sum is σ = 3199375872. Its totient is φ = 184320000.

The previous prime is 822119989. The next prime is 822120007. The reversal of 822120000 is 21228.

822120000 is digitally balanced in base 6, 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26519985 + ... + 26520015.

Almost surely, 2^822120000 is an apocalyptic number.

822120000 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 822120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599687936).

822120000 is an abundant number, since it is smaller than the sum of its proper divisors (2377255872).

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

822120000 is a wasteful number, since it uses less digits than its factorization.

822120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 822120000 is about 28672.6350376103. The cubic root of 822120000 is about 936.7960938384.

Adding to 822120000 its reverse (21228), we get a palindrome (822141228).

The spelling of 822120000 in words is "eight hundred twenty-two million, one hundred twenty thousand".