120203313312000 has 1152 divisors, whose sum is σ = 428986054748160. Its totient is φ = 29724652339200.

The previous prime is 120203313311993. The next prime is 120203313312059. The reversal of 120203313312000 is 213313302021.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 109975583454 + ... + 109975584546.

It is an arithmetic number, because the mean of its divisors is an integer number (372383728080).

Almost surely, 2^{120203313312000} is an apocalyptic number.

120203313312000 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 120203313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214493027374080).

120203313312000 is an abundant number, since it is smaller than the sum of its proper divisors (308782741436160).

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

120203313312000 is a wasteful number, since it uses less digits than its factorization.

120203313312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120203313312000 its reverse (213313302021), we get a palindrome (120416626614021).

The spelling of 120203313312000 in words is "one hundred twenty trillion, two hundred three billion, three hundred thirteen million, three hundred twelve thousand".