211612401 has 96 divisors (see below), whose sum is σ = 416812032. Its totient is φ = 99895680.

The previous prime is 211612343. The next prime is 211612403. The reversal of 211612401 is 104216112.

211612401 is a `hidden beast` number, since 2 + 11 + 612 + 40 + 1 = 666.

It is not a de Polignac number, because 211612401 - 2¹⁰ = 211611377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211612403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747606 + ... + 747888.

It is an arithmetic number, because the mean of its divisors is an integer number (4341792).

Almost surely, 2^211612401 is an apocalyptic number.

211612401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211612401 is a deficient number, since it is larger than the sum of its proper divisors (205199631).

211612401 is a wasteful number, since it uses less digits than its factorization.

211612401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211612401 is about 14546.9034849345. The cubic root of 211612401 is about 595.9095858899.

Adding to 211612401 its reverse (104216112), we get a palindrome (315828513).

The spelling of 211612401 in words is "two hundred eleven million, six hundred twelve thousand, four hundred one".