223121042000 has 160 divisors (see below), whose sum is σ = 554539284000. Its totient is φ = 86794752000.

The previous prime is 223121041999. The next prime is 223121042029. The reversal of 223121042000 is 240121322.

223121042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 184769303104 + 38351738896 = 429848^2 + 195836^2 .

It is a super-3 number, since 3×223121042000³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223121042000.

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 31 ways as a sum of consecutive naturals, for example, 10847726 + ... + 10868274.

It is an arithmetic number, because the mean of its divisors is an integer number (3465870525).

Almost surely, 2^223121042000 is an apocalyptic number.

223121042000 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 223121042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277269642000).

223121042000 is an abundant number, since it is smaller than the sum of its proper divisors (331418242000).

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

223121042000 is a wasteful number, since it uses less digits than its factorization.

223121042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20722 (or 20706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 223121042000 its reverse (240121322), we get a palindrome (223361163322).

The spelling of 223121042000 in words is "two hundred twenty-three billion, one hundred twenty-one million, forty-two thousand".