90231241200 has 480 divisors, whose sum is σ = 305847091200. Its totient is φ = 22710067200.

The previous prime is 90231241193. The next prime is 90231241201. The reversal of 90231241200 is 214213209.

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 (90231241201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404624289 + ... + 404624511.

It is an arithmetic number, because the mean of its divisors is an integer number (637181440).

Almost surely, 2^90231241200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90231241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152923545600).

90231241200 is an abundant number, since it is smaller than the sum of its proper divisors (215615850000).

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

90231241200 is a wasteful number, since it uses less digits than its factorization.

90231241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 90231241200 its reverse (214213209), we get a palindrome (90445454409).

The spelling of 90231241200 in words is "ninety billion, two hundred thirty-one million, two hundred forty-one thousand, two hundred".