224121120 has 48 divisors (see below), whose sum is σ = 705983040. Its totient is φ = 59765504.

The previous prime is 224121101. The next prime is 224121133. The reversal of 224121120 is 21121422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224121120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232980 + ... + 233939.

It is an arithmetic number, because the mean of its divisors is an integer number (14707980).

Almost surely, 2^224121120 is an apocalyptic number.

224121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224121120 is an abundant number, since it is smaller than the sum of its proper divisors (481861920).

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

224121120 is a wasteful number, since it uses less digits than its factorization.

224121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466937 (or 466929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224121120 is about 14970.6753354683. The cubic root of 224121120 is about 607.4272364543.

Adding to 224121120 its reverse (21121422), we get a palindrome (245242542).

It can be divided in two parts, 22412 and 1120, that added together give a palindrome (23532).

The spelling of 224121120 in words is "two hundred twenty-four million, one hundred twenty-one thousand, one hundred twenty".