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1221132 = 223112292
BaseRepresentation
bin100101010001000001100
32022001002010
410222020030
5303034012
642101220
713244103
oct4521014
92261063
101221132
11764500
124aa810
13339a83
1423b03a
15191c3c
hex12a20c

1221132 has 54 divisors (see below), whose sum is σ = 3243604. Its totient is φ = 357280.

The previous prime is 1221131. The next prime is 1221163. The reversal of 1221132 is 2311221.

It is a super-2 number, since 2×12211322 = 2982326722848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is not an unprimeable number, because it can be changed into a prime (1221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42094 + ... + 42122.

21221132 is an apocalyptic number.

1221132 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 1221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621802).

1221132 is an abundant number, since it is smaller than the sum of its proper divisors (2022472).

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

1221132 is a wasteful number, since it uses less digits than its factorization.

1221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 1221132 is about 1105.0484152289. The cubic root of 1221132 is about 106.8860113137.

Multiplying 1221132 by its sum of digits (12), we get a square (14653584 = 38282).

1221132 divided by its sum of digits (12) gives a square (101761 = 3192).

Adding to 1221132 its reverse (2311221), we get a palindrome (3532353).

The spelling of 1221132 in words is "one million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 841 957 1276 1452 1682 1914 2523 3364 3509 3828 5046 7018 9251 10092 10527 14036 18502 21054 27753 37004 42108 55506 101761 111012 203522 305283 407044 610566 1221132