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12011220108 = 2234418771031
BaseRepresentation
bin10110010111110110…
…01010110010001100
31011000002020012110000
423023323022302030
5144044333020413
65303510044300
7603435454266
oct131373126214
934002205400
1012011220108
115104025498
1223b2649690
131195592844
1481d2dcb36
154a473a073
hex2cbecac8c

12011220108 has 120 divisors (see below), whose sum is σ = 32233459104. Its totient is φ = 3897849600.

The previous prime is 12011220107. The next prime is 12011220157. The reversal of 12011220108 is 80102211021.

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 (12011220107) 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, 11649553 + ... + 11650583.

Almost surely, 212011220108 is an apocalyptic number.

12011220108 is a gapful number since it is divisible by the number (18) 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 12011220108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116729552).

12011220108 is an abundant number, since it is smaller than the sum of its proper divisors (20222238996).

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

12011220108 is a wasteful number, since it uses less digits than its factorization.

12011220108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

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

Adding to 12011220108 its reverse (80102211021), we get a palindrome (92113431129).

The spelling of 12011220108 in words is "twelve billion, eleven million, two hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 877 1031 1107 1476 1754 2062 2214 2631 3093 3321 3508 4124 4428 5262 6186 6642 7893 9279 10524 12372 13284 15786 18558 23679 27837 31572 35957 37116 42271 47358 55674 71037 71914 83511 84542 94716 107871 111348 126813 142074 143828 167022 169084 215742 253626 284148 323613 334044 380439 431484 507252 647226 760878 904187 970839 1141317 1294452 1521756 1808374 1941678 2282634 2712561 2912517 3423951 3616748 3883356 4565268 5425122 5825034 6847902 8137683 10850244 11650068 13695804 16275366 24413049 32550732 37071667 48826098 73239147 74143334 97652196 111215001 146478294 148286668 222430002 292956588 333645003 444860004 667290006 1000935009 1334580012 2001870018 3002805027 4003740036 6005610054 12011220108