120320131012200 has 1440 divisors, whose sum is σ = 491102705808000. Its totient is φ = 27221007744000.

The previous prime is 120320131012183. The next prime is 120320131012219. The reversal of 120320131012200 is 2210131023021.

120320131012200 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 1 + 310 + 12 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 36783896565 + ... + 36783899835.

It is an arithmetic number, because the mean of its divisors is an integer number (341043545700).

Almost surely, 2^{120320131012200} is an apocalyptic number.

120320131012200 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 120320131012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245551352904000).

120320131012200 is an abundant number, since it is smaller than the sum of its proper divisors (370782574795800).

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

120320131012200 is a wasteful number, since it uses less digits than its factorization.

120320131012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120320131012200 its reverse (2210131023021), we get a palindrome (122530262035221).

The spelling of 120320131012200 in words is "one hundred twenty trillion, three hundred twenty billion, one hundred thirty-one million, twelve thousand, two hundred".