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1211120112 = 243374315859
BaseRepresentation
bin100100000110000…
…0011100111110000
310010101221021110110
41020030003213300
54440021320422
6320102301320
742004231266
oct11014034760
93111837413
101211120112
11571711514
12299727840
13163bb8b27
14b6bc6436
15714d560c
hex483039f0

1211120112 has 80 divisors (see below), whose sum is σ = 3288222080. Its totient is φ = 383636736.

The previous prime is 1211120093. The next prime is 1211120123. The reversal of 1211120112 is 2110211121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68439 + ... + 84297.

It is an arithmetic number, because the mean of its divisors is an integer number (41102776).

Almost surely, 21211120112 is an apocalyptic number.

1211120112 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 1211120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644111040).

1211120112 is an abundant number, since it is smaller than the sum of its proper divisors (2077101968).

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

1211120112 is a wasteful number, since it uses less digits than its factorization.

1211120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15944 counting only the distinct ones).

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

The square root of 1211120112 is about 34801.1510154478. The cubic root of 1211120112 is about 1065.9309490899.

Adding to 1211120112 its reverse (2110211121), we get a palindrome (3321331233).

It can be divided in two parts, 12111 and 20112, that added together give a palindrome (32223).

The spelling of 1211120112 in words is "one billion, two hundred eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1776 2064 3182 4773 6364 9546 12728 15859 19092 25456 31718 38184 47577 63436 76368 95154 126872 190308 253744 380616 586783 681937 761232 1173566 1363874 1760349 2045811 2347132 2727748 3520698 4091622 4694264 5455496 7041396 8183244 9388528 10910992 14082792 16366488 25231669 28165584 32732976 50463338 75695007 100926676 151390014 201853352 302780028 403706704 605560056 1211120112