223212200112000 has 768 divisors, whose sum is σ = 902693900759040. Its totient is φ = 52366487040000.

The previous prime is 223212200111963. The next prime is 223212200112049. The reversal of 223212200112000 is 211002212322.

223212200112000 is a `hidden beast` number, since 2 + 2 + 321 + 220 + 0 + 1 + 120 + 0 + 0 = 666.

It is a super-3 number, since 3×223212200112000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46831149 + ... + 51376851.

It is an arithmetic number, because the mean of its divisors is an integer number (1175382683280).

Almost surely, 2^{223212200112000} is an apocalyptic number.

223212200112000 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 223212200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451346950379520).

223212200112000 is an abundant number, since it is smaller than the sum of its proper divisors (679481700647040).

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

223212200112000 is a wasteful number, since it uses less digits than its factorization.

223212200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545780 (or 4545755 counting only the distinct ones).

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

Adding to 223212200112000 its reverse (211002212322), we get a palindrome (223423202324322).

The spelling of 223212200112000 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred million, one hundred twelve thousand".