223013121120 has 144 divisors (see below), whose sum is σ = 761769852480. Its totient is φ = 59412529152.

The previous prime is 223013121073. The next prime is 223013121127. The reversal of 223013121120 is 21121310322.

223013121120 is a `hidden beast` number, since 2 + 230 + 1 + 312 + 1 + 120 = 666.

223013121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 223013121093 and 223013121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223013121127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1421632 + ... + 1570688.

It is an arithmetic number, because the mean of its divisors is an integer number (5290068420).

Almost surely, 2^223013121120 is an apocalyptic number.

223013121120 is a gapful number since it is divisible by the number (20) 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 223013121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380884926240).

223013121120 is an abundant number, since it is smaller than the sum of its proper divisors (538756731360).

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

223013121120 is a wasteful number, since it uses less digits than its factorization.

223013121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150117 (or 150106 counting only the distinct ones).

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

Adding to 223013121120 its reverse (21121310322), we get a palindrome (244134431442).

The spelling of 223013121120 in words is "two hundred twenty-three billion, thirteen million, one hundred twenty-one thousand, one hundred twenty".