206211405120 has 448 divisors, whose sum is σ = 761415759360. Its totient is φ = 46311800832.

The previous prime is 206211405091. The next prime is 206211405157. The reversal of 206211405120 is 21504112602.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103466844 + ... + 103468836.

Almost surely, 2^206211405120 is an apocalyptic number.

206211405120 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 206211405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380707879680).

206211405120 is an abundant number, since it is smaller than the sum of its proper divisors (555204354240).

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

206211405120 is a wasteful number, since it uses less digits than its factorization.

206211405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 206211405120 its reverse (21504112602), we get a palindrome (227715517722).

The spelling of 206211405120 in words is "two hundred six billion, two hundred eleven million, four hundred five thousand, one hundred twenty".