361122120 has 96 divisors (see below), whose sum is σ = 1185163200. Its totient is φ = 95354496.

The previous prime is 361122101. The next prime is 361122133. The reversal of 361122120 is 21221163.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 361122093 and 361122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32211 + ... + 41949.

It is an arithmetic number, because the mean of its divisors is an integer number (12345450).

Almost surely, 2^361122120 is an apocalyptic number.

361122120 is a gapful number since it is divisible by the number (30) 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 361122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592581600).

361122120 is an abundant number, since it is smaller than the sum of its proper divisors (824041080).

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

361122120 is a wasteful number, since it uses less digits than its factorization.

361122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361122120 is about 19003.2134124732. The cubic root of 361122120 is about 712.1170167056.

Adding to 361122120 its reverse (21221163), we get a palindrome (382343283).

The spelling of 361122120 in words is "three hundred sixty-one million, one hundred twenty-two thousand, one hundred twenty".