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11221220211012 = 223475983858101
BaseRepresentation
bin1010001101001010010011…
…0110000011100101000100
31110201201221010111202220000
42203102210312003211010
52432322024333223022
635510542444241300
72235464204020620
oct243224466034504
943651833452800
1011221220211012
1136369902aa789
1213128b7b40230
13635205b6a7b6
142ab177a10180
15146d52a786ac
hexa34a4d83944

11221220211012 has 120 divisors (see below), whose sum is σ = 34093349949120. Its totient is φ = 3151722830400.

The previous prime is 11221220211011. The next prime is 11221220211073. The reversal of 11221220211012 is 21011202212211.

11221220211012 is a `hidden beast` number, since 1 + 1 + 221 + 220 + 211 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11221220211011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41795239 + ... + 42062862.

It is an arithmetic number, because the mean of its divisors is an integer number (284111249576).

Almost surely, 211221220211012 is an apocalyptic number.

11221220211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11221220211012 is an abundant number, since it is smaller than the sum of its proper divisors (22872129738108).

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

11221220211012 is a wasteful number, since it uses less digits than its factorization.

11221220211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83858183 (or 83858172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221220211012 its reverse (21011202212211), we get a palindrome (32232422423223).

The spelling of 11221220211012 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 324 354 378 413 531 567 708 756 826 1062 1134 1239 1593 1652 2124 2268 2478 3186 3717 4779 4956 6372 7434 9558 11151 14868 19116 22302 33453 44604 66906 133812 83858101 167716202 251574303 335432404 503148606 587006707 754722909 1006297212 1174013414 1509445818 1761020121 2264168727 2348026828 3018891636 3522040242 4528337454 4947627959 5283060363 6792506181 7044080484 9056674908 9895255918 10566120726 13585012362 14842883877 15849181089 19790511836 21132241452 27170024724 29685767754 31698362178 34633395713 44528651631 47547543267 59371535508 63396724356 69266791426 89057303262 95095086534 103900187139 133585954893 138533582852 178114606524 190190173068 207800374278 267171909786 311700561417 400757864679 415600748556 534343819572 623401122834 801515729358 935101684251 1246802245668 1603031458716 1870203368502 2805305052753 3740406737004 5610610105506 11221220211012