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1222001112 = 2331912721101
BaseRepresentation
bin100100011010110…
…0100000111011000
310011011102002101110
41020311210013120
510000313013422
6321131420320
742165560313
oct11065440730
93134362343
101222001112
11577873582
122a12b46a0
131662286a7
14b841997a
157243460c
hex48d641d8

1222001112 has 64 divisors (see below), whose sum is σ = 3241267200. Its totient is φ = 382838400.

The previous prime is 1222001111. The next prime is 1222001117. The reversal of 1222001112 is 2111002221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222001111) 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 15 ways as a sum of consecutive naturals, for example, 47362 + ... + 68462.

It is an arithmetic number, because the mean of its divisors is an integer number (50644800).

Almost surely, 21222001112 is an apocalyptic number.

1222001112 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 1222001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620633600).

1222001112 is an abundant number, since it is smaller than the sum of its proper divisors (2019266088).

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

1222001112 is a wasteful number, since it uses less digits than its factorization.

1222001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21256 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1222001112 is about 34957.1324910954. The cubic root of 1222001112 is about 1069.1136316895.

Adding to 1222001112 its reverse (2111002221), we get a palindrome (3333003333).

The spelling of 1222001112 in words is "one billion, two hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 2413 3048 4826 7239 9652 14478 19304 21101 28956 42202 57912 63303 84404 126606 168808 253212 400919 506424 801838 1202757 1603676 2405514 2679827 3207352 4811028 5359654 8039481 9622056 10719308 16078962 21438616 32157924 50916713 64315848 101833426 152750139 203666852 305500278 407333704 611000556 1222001112