211358970120 has 128 divisors (see below), whose sum is σ = 662044803840. Its totient is φ = 53879316480.

The previous prime is 211358970107. The next prime is 211358970127. The reversal of 211358970120 is 21079853112.

It is a happy number.

211358970120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211358970120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211358970127) 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, 4727712 + ... + 4772208.

It is an arithmetic number, because the mean of its divisors is an integer number (5172225030).

Almost surely, 2^211358970120 is an apocalyptic number.

211358970120 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 211358970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331022401920).

211358970120 is an abundant number, since it is smaller than the sum of its proper divisors (450685833720).

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

211358970120 is a wasteful number, since it uses less digits than its factorization.

211358970120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46255 (or 46251 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 211358970120 in words is "two hundred eleven billion, three hundred fifty-eight million, nine hundred seventy thousand, one hundred twenty".