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12212442 = 23211371667
BaseRepresentation
bin101110100101…
…100011011010
3211222110022200
4232211203122
511111244232
61113431030
7205542534
oct56454332
924873280
1012212442
116991430
12410b476
1326b78c8
14189c854
15111377c
hexba58da

12212442 has 48 divisors (see below), whose sum is σ = 29663712. Its totient is φ = 3598560.

The previous prime is 12212441. The next prime is 12212467. The reversal of 12212442 is 24421221.

12212442 is a `hidden beast` number, since 1 + 221 + 2 + 442 = 666.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12212441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6493 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (617994).

Almost surely, 212212442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831856).

12212442 is an abundant number, since it is smaller than the sum of its proper divisors (17451270).

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

12212442 is a wasteful number, since it uses less digits than its factorization.

12212442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1720 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12212442 is about 3494.6304525658. The cubic root of 12212442 is about 230.2859832639.

Adding to 12212442 its reverse (24421221), we get a palindrome (36633663).

It can be divided in two parts, 1221 and 2442, that added together give a palindrome (3663).

The spelling of 12212442 in words is "twelve million, two hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1667 2442 3334 3663 5001 7326 10002 15003 18337 30006 36674 55011 61679 110022 123358 165033 185037 330066 370074 555111 678469 1110222 1356938 2035407 4070814 6106221 12212442