201223103223120 has 320 divisors, whose sum is σ = 688220215372800. Its totient is φ = 48228052561920.

The previous prime is 201223103223071. The next prime is 201223103223127. The reversal of 201223103223120 is 21322301322102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201223103223127) 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 63 ways as a sum of consecutive naturals, for example, 2457405699 + ... + 2457487581.

It is an arithmetic number, because the mean of its divisors is an integer number (2150688173040).

Almost surely, 2^{201223103223120} is an apocalyptic number.

201223103223120 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 201223103223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344110107686400).

201223103223120 is an abundant number, since it is smaller than the sum of its proper divisors (486997112149680).

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

201223103223120 is a wasteful number, since it uses less digits than its factorization.

201223103223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92458 (or 92452 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201223103223120 its reverse (21322301322102), we get a palindrome (222545404545222).

The spelling of 201223103223120 in words is "two hundred one trillion, two hundred twenty-three billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty".