120141312000 has 832 divisors, whose sum is σ = 437190234624. Its totient is φ = 29176627200.

The previous prime is 120141311933. The next prime is 120141312013. The reversal of 120141312000 is 213141021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1122815947 + ... + 1122816053.

It is an arithmetic number, because the mean of its divisors is an integer number (525469032).

Almost surely, 2^120141312000 is an apocalyptic number.

120141312000 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 120141312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218595117312).

120141312000 is an abundant number, since it is smaller than the sum of its proper divisors (317048922624).

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

120141312000 is a wasteful number, since it uses less digits than its factorization.

120141312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120141312000 its reverse (213141021), we get a palindrome (120354453021).

The spelling of 120141312000 in words is "one hundred twenty billion, one hundred forty-one million, three hundred twelve thousand".