8022405120 has 208 divisors, whose sum is σ = 26369777760. Its totient is φ = 2080899072.

The previous prime is 8022405119. The next prime is 8022405121. The reversal of 8022405120 is 215042208.

It is an interprime number because it is at equal distance from previous prime (8022405119) and next prime (8022405121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8022405121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271516 + ... + 2275044.

Almost surely, 2^8022405120 is an apocalyptic number.

8022405120 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 8022405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184888880).

8022405120 is an abundant number, since it is smaller than the sum of its proper divisors (18347372640).

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

8022405120 is a wasteful number, since it uses less digits than its factorization.

8022405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8022405120 is about 89567.8799570471. The cubic root of 8022405120 is about 2001.8653530215.

Adding to 8022405120 its reverse (215042208), we get a palindrome (8237447328).

The spelling of 8022405120 in words is "eight billion, twenty-two million, four hundred five thousand, one hundred twenty".