211264334121140 has 96 divisors (see below), whose sum is σ = 483214348915200. Its totient is φ = 77280585338880.

The previous prime is 211264334121131. The next prime is 211264334121187. The reversal of 211264334121140 is 41121433462112.

It is a self number, because there is not a number n which added to its sum of digits gives 211264334121140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48504932 + ... + 52680708.

It is an arithmetic number, because the mean of its divisors is an integer number (5033482801200).

Almost surely, 2^{211264334121140} is an apocalyptic number.

211264334121140 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 211264334121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241607174457600).

211264334121140 is an abundant number, since it is smaller than the sum of its proper divisors (271950014794060).

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

211264334121140 is a wasteful number, since it uses less digits than its factorization.

211264334121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180425 (or 4180423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 211264334121140 its reverse (41121433462112), we get a palindrome (252385767583252).

The spelling of 211264334121140 in words is "two hundred eleven trillion, two hundred sixty-four billion, three hundred thirty-four million, one hundred twenty-one thousand, one hundred forty".