211201000120 has 64 divisors (see below), whose sum is σ = 521835747840. Its totient is φ = 76291728000.

The previous prime is 211201000079. The next prime is 211201000183. The reversal of 211201000120 is 21000102112.

211201000120 is digitally balanced in base 3, 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 211201000097 and 211201000106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522972 + ... + 1655851.

It is an arithmetic number, because the mean of its divisors is an integer number (8153683560).

Almost surely, 2^211201000120 is an apocalyptic number.

211201000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201000120 is an abundant number, since it is smaller than the sum of its proper divisors (310634747720).

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

211201000120 is a wasteful number, since it uses less digits than its factorization.

211201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178996 (or 3178992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211201000120 its reverse (21000102112), we get a palindrome (232201102232).

The spelling of 211201000120 in words is "two hundred eleven billion, two hundred one million, one hundred twenty", and thus it is an aban number.