223213680120 has 256 divisors, whose sum is σ = 686391874560. Its totient is φ = 58058883072.

The previous prime is 223213680103. The next prime is 223213680127. The reversal of 223213680120 is 21086312322.

It is a super-3 number, since 3×223213680120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223213680127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344997637 + ... + 344998283.

It is an arithmetic number, because the mean of its divisors is an integer number (2681218260).

Almost surely, 2^223213680120 is an apocalyptic number.

223213680120 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 223213680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343195937280).

223213680120 is an abundant number, since it is smaller than the sum of its proper divisors (463178194440).

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

223213680120 is a wasteful number, since it uses less digits than its factorization.

223213680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 223213680120 its reverse (21086312322), we get a palindrome (244299992442).

The spelling of 223213680120 in words is "two hundred twenty-three billion, two hundred thirteen million, six hundred eighty thousand, one hundred twenty".