120040312031200 has 288 divisors, whose sum is σ = 329270508151200. Its totient is φ = 42349530931200.

The previous prime is 120040312031179. The next prime is 120040312031201. The reversal of 120040312031200 is 2130213040021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120040312031201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113106214 + ... + 114162586.

It is an arithmetic number, because the mean of its divisors is an integer number (1143300375525).

Almost surely, 2^{120040312031200} is an apocalyptic number.

120040312031200 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 120040312031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164635254075600).

120040312031200 is an abundant number, since it is smaller than the sum of its proper divisors (209230196120000).

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

120040312031200 is a wasteful number, since it uses less digits than its factorization.

120040312031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056790 (or 1056777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 120040312031200 its reverse (2130213040021), we get a palindrome (122170525071221).

The spelling of 120040312031200 in words is "one hundred twenty trillion, forty billion, three hundred twelve million, thirty-one thousand, two hundred".