223211201121120 has 96 divisors (see below), whose sum is σ = 703589402621952. Its totient is φ = 59482849900032.

The previous prime is 223211201121113. The next prime is 223211201121131. The reversal of 223211201121120 is 21121102112322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223211201121120³ (a number of 44 digits) contains 333 as substring.

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, 156072832 + ... + 157496511.

It is an arithmetic number, because the mean of its divisors is an integer number (7329056277312).

Almost surely, 2^{223211201121120} is an apocalyptic number.

223211201121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223211201121120 is an abundant number, since it is smaller than the sum of its proper divisors (480378201500832).

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

223211201121120 is a wasteful number, since it uses less digits than its factorization.

223211201121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313570844 (or 313570836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 223211201121120 its reverse (21121102112322), we get a palindrome (244332303233442).

The spelling of 223211201121120 in words is "two hundred twenty-three trillion, two hundred eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".