120113123332200 has 384 divisors, whose sum is σ = 384787787005440. Its totient is φ = 30971289600000.

The previous prime is 120113123332151. The next prime is 120113123332253. The reversal of 120113123332200 is 2233321311021.

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

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, 6433128865 + ... + 6433147535.

It is an arithmetic number, because the mean of its divisors is an integer number (1002051528660).

Almost surely, 2^{120113123332200} is an apocalyptic number.

120113123332200 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 120113123332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192393893502720).

120113123332200 is an abundant number, since it is smaller than the sum of its proper divisors (264674663673240).

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

120113123332200 is a wasteful number, since it uses less digits than its factorization.

120113123332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20509 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 120113123332200 its reverse (2233321311021), we get a palindrome (122346444643221).

The spelling of 120113123332200 in words is "one hundred twenty trillion, one hundred thirteen billion, one hundred twenty-three million, three hundred thirty-two thousand, two hundred".