211421414112 has 96 divisors (see below), whose sum is σ = 584318891520. Its totient is φ = 66750013440.

The previous prime is 211421414111. The next prime is 211421414117. The reversal of 211421414112 is 211414124112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211421414111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10848537 + ... + 10868007.

It is an arithmetic number, because the mean of its divisors is an integer number (6086655120).

Almost surely, 2^211421414112 is an apocalyptic number.

It is an amenable number.

211421414112 is an abundant number, since it is smaller than the sum of its proper divisors (372897477408).

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

211421414112 is a wasteful number, since it uses less digits than its factorization.

211421414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 25448 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 211421414112 its reverse (211414124112), we get a palindrome (422835538224).

Subtracting from 211421414112 its reverse (211414124112), we obtain a square (7290000 = 2700²).

The spelling of 211421414112 in words is "two hundred eleven billion, four hundred twenty-one million, four hundred fourteen thousand, one hundred twelve".