211414021312 has 112 divisors (see below), whose sum is σ = 459301437504. Its totient is φ = 95961600000.

The previous prime is 211414021261. The next prime is 211414021417. The reversal of 211414021312 is 213120414112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24865062 + ... + 24873562.

It is an arithmetic number, because the mean of its divisors is an integer number (4100905692).

Almost surely, 2^211414021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211414021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229650718752).

211414021312 is an abundant number, since it is smaller than the sum of its proper divisors (247887416192).

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

211414021312 is a wasteful number, since it uses less digits than its factorization.

211414021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 211414021312 its reverse (213120414112), we get a palindrome (424534435424).

The spelling of 211414021312 in words is "two hundred eleven billion, four hundred fourteen million, twenty-one thousand, three hundred twelve".