201224023000 has 512 divisors, whose sum is σ = 647761121280. Its totient is φ = 56471040000.

The previous prime is 201224022997. The next prime is 201224023019. The reversal of 201224023000 is 320422102.

It is a super-2 number, since 2×201224023000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 41038549 + ... + 41043451.

It is an arithmetic number, because the mean of its divisors is an integer number (1265158440).

Almost surely, 2^201224023000 is an apocalyptic number.

201224023000 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 201224023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323880560640).

201224023000 is an abundant number, since it is smaller than the sum of its proper divisors (446537098280).

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

201224023000 is a wasteful number, since it uses less digits than its factorization.

201224023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201224023000 its reverse (320422102), we get a palindrome (201544445102).

The spelling of 201224023000 in words is "two hundred one billion, two hundred twenty-four million, twenty-three thousand".