4122172320 has 192 divisors, whose sum is σ = 15062132736. Its totient is φ = 928097280.

The previous prime is 4122172297. The next prime is 4122172357. The reversal of 4122172320 is 232712214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215965 + ... + 234275.

It is an arithmetic number, because the mean of its divisors is an integer number (78448608).

Almost surely, 2^4122172320 is an apocalyptic number.

4122172320 is a gapful number since it is divisible by the number (40) 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 4122172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531066368).

4122172320 is an abundant number, since it is smaller than the sum of its proper divisors (10939960416).

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

4122172320 is a wasteful number, since it uses less digits than its factorization.

4122172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18395 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4122172320 is about 64204.1456605413. The cubic root of 4122172320 is about 1603.4006214049.

Adding to 4122172320 its reverse (232712214), we get a palindrome (4354884534).

The spelling of 4122172320 in words is "four billion, one hundred twenty-two million, one hundred seventy-two thousand, three hundred twenty".