120011413340 has 96 divisors (see below), whose sum is σ = 310345910784. Its totient is φ = 37961729280.

The previous prime is 120011413297. The next prime is 120011413391. The reversal of 120011413340 is 43314110021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3672875 + ... + 3705405.

It is an arithmetic number, because the mean of its divisors is an integer number (3232769904).

Almost surely, 2^120011413340 is an apocalyptic number.

120011413340 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 120011413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155172955392).

120011413340 is an abundant number, since it is smaller than the sum of its proper divisors (190334497444).

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

120011413340 is a wasteful number, since it uses less digits than its factorization.

120011413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34587 (or 34585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120011413340 its reverse (43314110021), we get a palindrome (163325523361).

The spelling of 120011413340 in words is "one hundred twenty billion, eleven million, four hundred thirteen thousand, three hundred forty".