211341222144 has 432 divisors, whose sum is σ = 680475398400. Its totient is φ = 64670441472.

The previous prime is 211341222107. The next prime is 211341222187. The reversal of 211341222144 is 441222143112.

211341222144 is a `hidden beast` number, since 21 + 1 + 3 + 412 + 221 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×211341222144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279182214 + ... + 279182970.

Almost surely, 2^211341222144 is an apocalyptic number.

211341222144 is a gapful number since it is divisible by the number (24) 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 211341222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340237699200).

211341222144 is an abundant number, since it is smaller than the sum of its proper divisors (469134176256).

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

211341222144 is a wasteful number, since it uses less digits than its factorization.

211341222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1014 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 211341222144 its reverse (441222143112), we get a palindrome (652563365256).

The spelling of 211341222144 in words is "two hundred eleven billion, three hundred forty-one million, two hundred twenty-two thousand, one hundred forty-four".