6822015120 has 120 divisors (see below), whose sum is σ = 23233459392. Its totient is φ = 1793568000.

The previous prime is 6822015103. The next prime is 6822015139. The reversal of 6822015120 is 215102286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6822015120² = 93079780595017228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15606 + ... + 117845.

Almost surely, 2^6822015120 is an apocalyptic number.

6822015120 is a gapful number since it is divisible by the number (60) 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 6822015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616729696).

6822015120 is an abundant number, since it is smaller than the sum of its proper divisors (16411444272).

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

6822015120 is a wasteful number, since it uses less digits than its factorization.

6822015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133541 (or 133532 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6822015120 is about 82595.4909180883. The cubic root of 6822015120 is about 1896.5788036855.

The spelling of 6822015120 in words is "six billion, eight hundred twenty-two million, fifteen thousand, one hundred twenty".