120101313120 has 96 divisors (see below), whose sum is σ = 387546495840. Its totient is φ = 31245864960.

The previous prime is 120101313107. The next prime is 120101313121. The reversal of 120101313120 is 21313101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120101313120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101313121) 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 15 ways as a sum of consecutive naturals, for example, 3031675 + ... + 3071034.

It is an arithmetic number, because the mean of its divisors is an integer number (4036942665).

Almost surely, 2^120101313120 is an apocalyptic number.

120101313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101313120 is an abundant number, since it is smaller than the sum of its proper divisors (267445182720).

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

120101313120 is a wasteful number, since it uses less digits than its factorization.

120101313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102768 (or 6102760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120101313120 its reverse (21313101021), we get a palindrome (141414414141).

The spelling of 120101313120 in words is "one hundred twenty billion, one hundred one million, three hundred thirteen thousand, one hundred twenty".