Search a number
-
+
111120211221012 = 223371789382321491
BaseRepresentation
bin11001010001000000110000…
…101101111001101000010100
3112120102222200120120221212000
4121101000300231321220110
5104031043143033033022
61032155530441555300
732256112265011650
oct3121006055715024
9476388616527760
10111120211221012
11324518a9377724
1210567a11aa5b30
134a0078b439bb6
141d62365793a60
15cca7597536ac
hex651030b79a14

111120211221012 has 192 divisors, whose sum is σ = 329530611916800. Its totient is φ = 31721109114240.

The previous prime is 111120211221001. The next prime is 111120211221079. The reversal of 111120211221012 is 210122112021111.

It is a happy number.

111120211221012 is a `hidden beast` number, since 111 + 120 + 211 + 2 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5170535587 + ... + 5170557077.

It is an arithmetic number, because the mean of its divisors is an integer number (1716305270400).

Almost surely, 2111120211221012 is an apocalyptic number.

111120211221012 is a gapful number since it is divisible by the number (12) 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 111120211221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164765305958400).

111120211221012 is an abundant number, since it is smaller than the sum of its proper divisors (218410400695788).

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

111120211221012 is a wasteful number, since it uses less digits than its factorization.

111120211221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123 (or 27115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111120211221012 its reverse (210122112021111), we get a palindrome (321242323242123).

The spelling of 111120211221012 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, twelve".