120302131113000 has 384 divisors, whose sum is σ = 419152279703040. Its totient is φ = 31098323520000.

The previous prime is 120302131112981. The next prime is 120302131113011. The reversal of 120302131113000 is 311131203021.

120302131113000 is a `hidden beast` number, since 1 + 2 + 0 + 30 + 21 + 311 + 1 + 300 + 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 95 ways as a sum of consecutive naturals, for example, 89576455 + ... + 90909545.

It is an arithmetic number, because the mean of its divisors is an integer number (1091542395060).

Almost surely, 2^{120302131113000} is an apocalyptic number.

120302131113000 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 120302131113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209576139851520).

120302131113000 is an abundant number, since it is smaller than the sum of its proper divisors (298850148590040).

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

120302131113000 is a wasteful number, since it uses less digits than its factorization.

120302131113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333426 (or 1333409 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120302131113000 its reverse (311131203021), we get a palindrome (120613262316021).

The spelling of 120302131113000 in words is "one hundred twenty trillion, three hundred two billion, one hundred thirty-one million, one hundred thirteen thousand".