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1201112112 = 243317111369
BaseRepresentation
bin100011110010111…
…1000010000110000
310002201002211001210
41013211320100300
54424441041422
6315104000120
741523166404
oct10745702060
93081084053
101201112112
11566aa6342
12296300040
13161ac3735
14b573d104
15706aa10c
hex47978430

1201112112 has 80 divisors (see below), whose sum is σ = 3248363520. Its totient is φ = 381964800.

The previous prime is 1201112089. The next prime is 1201112131. The reversal of 1201112112 is 2112111021.

It is a super-3 number, since 3×12011121123 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 99964 + ... + 111332.

It is an arithmetic number, because the mean of its divisors is an integer number (40604544).

Almost surely, 21201112112 is an apocalyptic number.

1201112112 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 1201112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624181760).

1201112112 is an abundant number, since it is smaller than the sum of its proper divisors (2047251408).

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

1201112112 is a wasteful number, since it uses less digits than its factorization.

1201112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1201112112 is about 34657.0643880869. The cubic root of 1201112112 is about 1062.9867443088.

Adding to 1201112112 its reverse (2112111021), we get a palindrome (3313223133).

The spelling of 1201112112 in words is "one billion, two hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 1136 1488 1704 2201 3408 4402 6603 8804 11369 13206 17608 22738 26412 34107 35216 45476 52824 68214 90952 105648 136428 181904 272856 352439 545712 704878 807199 1057317 1409756 1614398 2114634 2421597 2819512 3228796 4229268 4843194 5639024 6457592 8458536 9686388 12915184 16917072 19372776 25023169 38745552 50046338 75069507 100092676 150139014 200185352 300278028 400370704 600556056 1201112112