120206340 has 72 divisors (see below), whose sum is σ = 374501400. Its totient is φ = 31186944.

The previous prime is 120206329. The next prime is 120206341. The reversal of 120206340 is 43602021.

It is a happy number.

120206340 is a `hidden beast` number, since 12 + 0 + 20 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56430144 + 63776196 = 7512^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120206341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365 + ... + 15684.

Almost surely, 2^120206340 is an apocalyptic number.

120206340 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 120206340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187250700).

120206340 is an abundant number, since it is smaller than the sum of its proper divisors (254295060).

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

120206340 is a wasteful number, since it uses less digits than its factorization.

120206340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18101 (or 18096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120206340 is about 10963.8651943555. The cubic root of 120206340 is about 493.5249630915.

Adding to 120206340 its reverse (43602021), we get a palindrome (163808361).

The spelling of 120206340 in words is "one hundred twenty million, two hundred six thousand, three hundred forty".