122241031212300 has 1728 divisors, whose sum is σ = 489364345344000. Its totient is φ = 23392841472000.

The previous prime is 122241031212277. The next prime is 122241031212341. The reversal of 122241031212300 is 3212130142221.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 134183348845 + ... + 134183349755.

Almost surely, 2^{122241031212300} is an apocalyptic number.

122241031212300 is a gapful number since it is divisible by the number (10) 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 122241031212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244682172672000).

122241031212300 is an abundant number, since it is smaller than the sum of its proper divisors (367123314131700).

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

122241031212300 is a wasteful number, since it uses less digits than its factorization.

122241031212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122241031212300 its reverse (3212130142221), we get a palindrome (125453161354521).

The spelling of 122241031212300 in words is "one hundred twenty-two trillion, two hundred forty-one billion, thirty-one million, two hundred twelve thousand, three hundred".