206313747117120 has 336 divisors, whose sum is σ = 718337628478080. Its totient is φ = 54343424729088.

The previous prime is 206313747117089. The next prime is 206313747117131. The reversal of 206313747117120 is 21711747313602.

206313747117120 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 1 + 3 + 7 + 471 + 171 + 2 + 0 = 666.

It is a super-2 number, since 2×206313747117120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 251553147 + ... + 252371973.

Almost surely, 2^{206313747117120} is an apocalyptic number.

206313747117120 is a gapful number since it is divisible by the number (20) 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 206313747117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359168814239040).

206313747117120 is an abundant number, since it is smaller than the sum of its proper divisors (512023881360960).

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

206313747117120 is a wasteful number, since it uses less digits than its factorization.

206313747117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819922 (or 819909 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 206313747117120 in words is "two hundred six trillion, three hundred thirteen billion, seven hundred forty-seven million, one hundred seventeen thousand, one hundred twenty".