224200740120 has 64 divisors (see below), whose sum is σ = 768688254720. Its totient is φ = 51245883264.

The previous prime is 224200740119. The next prime is 224200740139. The reversal of 224200740120 is 21047002422.

224200740120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224200740120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133451982 + ... + 133453661.

It is an arithmetic number, because the mean of its divisors is an integer number (12010753980).

Almost surely, 2^224200740120 is an apocalyptic number.

224200740120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224200740120 is an abundant number, since it is smaller than the sum of its proper divisors (544487514600).

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

224200740120 is a wasteful number, since it uses less digits than its factorization.

224200740120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266905664 (or 266905660 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 224200740120 its reverse (21047002422), we get a palindrome (245247742542).

The spelling of 224200740120 in words is "two hundred twenty-four billion, two hundred million, seven hundred forty thousand, one hundred twenty".