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1222128 = 24342341
BaseRepresentation
bin100101010010111110000
32022002110000
410222113300
5303102003
642110000
713250025
oct4522760
92262400
101222128
11765226
124ab300
1333a36b
1423b54c
151921a3
hex12a5f0

1222128 has 100 divisors (see below), whose sum is σ = 3781008. Its totient is φ = 380160.

The previous prime is 1222097. The next prime is 1222129. The reversal of 1222128 is 8212221.

It is a happy number.

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

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

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1222128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29788 + ... + 29828.

21222128 is an apocalyptic number.

1222128 is a gapful number since it is divisible by the number (18) 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 1222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504).

1222128 is an abundant number, since it is smaller than the sum of its proper divisors (2558880).

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

1222128 is a wasteful number, since it uses less digits than its factorization.

1222128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1222128 is about 1105.4989823605. The cubic root of 1222128 is about 106.9150634655.

1222128 divided by its sum of digits (18) gives a triangular number (67896 = T368).

Adding to 1222128 its reverse (8212221), we get a palindrome (9434349).

The spelling of 1222128 in words is "one million, two hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 41 46 48 54 69 72 81 82 92 108 123 138 144 162 164 184 207 216 246 276 324 328 368 369 414 432 492 552 621 648 656 738 828 943 984 1104 1107 1242 1296 1476 1656 1863 1886 1968 2214 2484 2829 2952 3312 3321 3726 3772 4428 4968 5658 5904 6642 7452 7544 8487 8856 9936 11316 13284 14904 15088 16974 17712 22632 25461 26568 29808 33948 45264 50922 53136 67896 76383 101844 135792 152766 203688 305532 407376 611064 1222128