361221120 has 440 divisors, whose sum is σ = 1414788144. Its totient is φ = 87588864.

The previous prime is 361221079. The next prime is 361221127. The reversal of 361221120 is 21122163.

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 = 361221093 and 361221102.

It is not an unprimeable number, because it can be changed into a prime (361221127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5391327 + ... + 5391393.

Almost surely, 2^361221120 is an apocalyptic number.

361221120 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 361221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707394072).

361221120 is an abundant number, since it is smaller than the sum of its proper divisors (1053567024).

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

361221120 is a wasteful number, since it uses less digits than its factorization.

361221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

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

The square root of 361221120 is about 19005.8180565847. The cubic root of 361221120 is about 712.1820853156.

Adding to 361221120 its reverse (21122163), we get a palindrome (382343283).

The spelling of 361221120 in words is "three hundred sixty-one million, two hundred twenty-one thousand, one hundred twenty".