211114141000 has 128 divisors (see below), whose sum is σ = 570924806400. Its totient is φ = 71568499200.

The previous prime is 211114140959. The next prime is 211114141003. The reversal of 211114141000 is 141411112.

It is not an unprimeable number, because it can be changed into a prime (211114141003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453567 + ... + 792433.

It is an arithmetic number, because the mean of its divisors is an integer number (4460350050).

Almost surely, 2^211114141000 is an apocalyptic number.

211114141000 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 211114141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285462403200).

211114141000 is an abundant number, since it is smaller than the sum of its proper divisors (359810665400).

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

211114141000 is a wasteful number, since it uses less digits than its factorization.

211114141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338984 (or 338970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211114141000 its reverse (141411112), we get a palindrome (211255552112).

The spelling of 211114141000 in words is "two hundred eleven billion, one hundred fourteen million, one hundred forty-one thousand".