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1220111000112 = 2433718133111467
BaseRepresentation
bin10001110000010100010…
…010000110001000110000
311022122022122002202202110
4101300110102012020300
5124442241404000422
62332302233045320
7154102326245304
oct21602422061060
94278278082673
101220111000112
1143049a940144
12178570856840
138b095c87c84
14430a7465d04
1521b1058060c
hex11c14486230

1220111000112 has 160 divisors (see below), whose sum is σ = 3265144739584. Its totient is φ = 392302310400.

The previous prime is 1220111000099. The next prime is 1220111000167. The reversal of 1220111000112 is 2110001110221.

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 31 ways as a sum of consecutive naturals, for example, 106396203 + ... + 106407669.

Almost surely, 21220111000112 is an apocalyptic number.

1220111000112 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 1220111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632572369792).

1220111000112 is an abundant number, since it is smaller than the sum of its proper divisors (2045033739472).

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

1220111000112 is a wasteful number, since it uses less digits than its factorization.

1220111000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027 (or 12021 counting only the distinct ones).

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

Adding to 1220111000112 its reverse (2110001110221), we get a palindrome (3330112110333).

The spelling of 1220111000112 in words is "one trillion, two hundred twenty billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 181 222 296 331 362 444 543 592 662 724 888 993 1086 1324 1448 1776 1986 2172 2648 2896 3972 4344 5296 6697 7944 8688 11467 12247 13394 15888 20091 22934 24494 26788 34401 36741 40182 45868 48988 53576 59911 68802 73482 80364 91736 97976 107152 119822 137604 146964 160728 179733 183472 195952 239644 275208 293928 321456 359466 424279 479288 550416 587856 718932 848558 958576 1272837 1437864 1697116 2075527 2216707 2545674 2875728 3394232 3795577 4151054 4433414 5091348 6226581 6650121 6788464 7591154 8302108 8866828 10182696 11386731 12453162 13300242 15182308 16604216 17733656 20365392 22773462 24906324 26600484 30364616 33208432 35467312 45546924 49812648 53200968 60729232 76794499 91093848 99625296 106401936 140436349 153588998 182187696 230383497 280872698 307177996 421309047 460766994 561745396 614355992 686999437 842618094 921533988 1123490792 1228711984 1373998874 1685236188 1843067976 2060998311 2246981584 2747997748 3370472376 3686135952 4121996622 5495995496 6740944752 8243993244 10991990992 16487986488 25418979169 32975972976 50837958338 76256937507 101675916676 152513875014 203351833352 305027750028 406703666704 610055500056 1220111000112