211302120120 has 128 divisors (see below), whose sum is σ = 780192483840. Its totient is φ = 44582423040.

The previous prime is 211302120103. The next prime is 211302120121. The reversal of 211302120120 is 21021203112.

211302120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 211302120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211302120121) 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 31 ways as a sum of consecutive naturals, for example, 9664086 + ... + 9685925.

It is an arithmetic number, because the mean of its divisors is an integer number (6095253780).

Almost surely, 2^211302120120 is an apocalyptic number.

211302120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211302120120 is an abundant number, since it is smaller than the sum of its proper divisors (568890363720).

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

211302120120 is a wasteful number, since it uses less digits than its factorization.

211302120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350045 (or 19350041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211302120120 its reverse (21021203112), we get a palindrome (232323323232).

The spelling of 211302120120 in words is "two hundred eleven billion, three hundred two million, one hundred twenty thousand, one hundred twenty".