211112331132132 has 96 divisors (see below), whose sum is σ = 556378324508160. Its totient is φ = 69207519363840.

The previous prime is 211112331132121. The next prime is 211112331132161. The reversal of 211112331132132 is 231231133211112.

211112331132132 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 2 + 331 + 1 + 321 + 3 + 2 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 211112331132096 and 211112331132105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45159973 + ... + 49614995.

It is an arithmetic number, because the mean of its divisors is an integer number (5795607546960).

Almost surely, 2^{211112331132132} 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 211112331132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278189162254080).

211112331132132 is an abundant number, since it is smaller than the sum of its proper divisors (345265993376028).

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

211112331132132 is a wasteful number, since it uses less digits than its factorization.

211112331132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462290 (or 4462282 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 211112331132132 its reverse (231231133211112), we get a palindrome (442343464343244).

The spelling of 211112331132132 in words is "two hundred eleven trillion, one hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-two".