223212121002 has 96 divisors (see below), whose sum is σ = 524367357696. Its totient is φ = 68214787200.

The previous prime is 223212121001. The next prime is 223212121003. The reversal of 223212121002 is 200121212322.

It is an interprime number because it is at equal distance from previous prime (223212121001) and next prime (223212121003).

It is a super-3 number, since 3×223212121002³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223212121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52260127 + ... + 52264397.

It is an arithmetic number, because the mean of its divisors is an integer number (5462159976).

Almost surely, 2^223212121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223212121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262183678848).

223212121002 is an abundant number, since it is smaller than the sum of its proper divisors (301155236694).

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

223212121002 is a wasteful number, since it uses less digits than its factorization.

223212121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223212121002 its reverse (200121212322), we get a palindrome (423333333324).

The spelling of 223212121002 in words is "two hundred twenty-three billion, two hundred twelve million, one hundred twenty-one thousand, two".