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12011112102 = 231117831011277
BaseRepresentation
bin10110010111110101…
…10000011010100110
31011000002000201021210
423023322300122212
5144044321041402
65303503452250
7603434524353
oct131372603246
934002021253
1012011112102
115103a61330
1223b25b7086
131195555632
1481d2b162a
154a471806c
hex2cbeb06a6

12011112102 has 128 divisors (see below), whose sum is σ = 28382151168. Its totient is φ = 3348224000.

The previous prime is 12011112079. The next prime is 12011112163. The reversal of 12011112102 is 20121111021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9405088 + ... + 9406364.

It is an arithmetic number, because the mean of its divisors is an integer number (221735556).

Almost surely, 212011112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191075584).

12011112102 is an abundant number, since it is smaller than the sum of its proper divisors (16371039066).

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

12011112102 is a wasteful number, since it uses less digits than its factorization.

12011112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494.

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

Adding to 12011112102 its reverse (20121111021), we get a palindrome (32132223123).

The spelling of 12011112102 in words is "twelve billion, eleven million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 83 101 102 166 187 202 249 303 374 498 561 606 913 1111 1122 1277 1411 1717 1826 2222 2554 2739 2822 3333 3434 3831 4233 5151 5478 6666 7662 8383 8466 10302 14047 15521 16766 18887 21709 25149 28094 31042 37774 42141 43418 46563 50298 56661 65127 84282 92213 93126 105991 113322 128977 130254 142511 184426 211982 238799 257954 276639 285022 317973 386931 427533 477598 553278 635946 716397 773862 855066 1165901 1418747 1432794 1567621 1801847 2192609 2331802 2837494 3135242 3497703 3603694 4256241 4385218 4702863 5405541 6577827 6995406 8512482 9405726 10705091 10811082 13155654 19820317 21410182 24118699 32115273 39640634 48237398 59460951 64230546 72356097 117756001 118921902 144712194 181986547 235512002 353268003 363973094 545959641 706536006 1091919282 2001852017 4003704034 6005556051 12011112102