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1112201021120 = 2657543191423
BaseRepresentation
bin10000001011110100010…
…110001100011011000000
310221022210012102212012212
4100023310112030123000
5121210241430133440
62210534343441252
7143232243460460
oct20136426143300
93838705385185
101112201021120
11399755532822
1215b675a56228
1380b59793ab7
143bb8ba91ba0
151dde6bcd465
hex102f458c6c0

1112201021120 has 112 divisors (see below), whose sum is σ = 3027366064128. Its totient is φ = 381251681280.

The previous prime is 1112201021117. The next prime is 1112201021219. The reversal of 1112201021120 is 211201022111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11122010211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1112201021095 and 1112201021104.

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, 12119729 + ... + 12211151.

It is an arithmetic number, because the mean of its divisors is an integer number (27030054144).

Almost surely, 21112201021120 is an apocalyptic number.

1112201021120 is a gapful number since it is divisible by the number (10) 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 1112201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513683032064).

1112201021120 is an abundant number, since it is smaller than the sum of its proper divisors (1915165043008).

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

1112201021120 is an equidigital number, since it uses as much as digits as its factorization.

1112201021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96878 (or 96868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1112201021120 its reverse (211201022111), we get a palindrome (1323402043231).

Subtracting from 1112201021120 its reverse (211201022111), we obtain a palindrome (900999999009).

The spelling of 1112201021120 in words is "one trillion, one hundred twelve billion, two hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5431 10862 21724 27155 38017 43448 54310 76034 86896 91423 108620 152068 173792 182846 190085 217240 304136 347584 365692 380170 434480 457115 608272 639961 731384 760340 868960 914230 1216544 1279922 1462768 1520680 1737920 1828460 2433088 2559844 2925536 3041360 3199805 3656920 5119688 5851072 6082720 6399610 7313840 10239376 12165440 12799220 14627680 20478752 25598440 29255360 40957504 51196880 102393760 204787520 496518313 993036626 1986073252 2482591565 3475628191 3972146504 4965183130 6951256382 7944293008 9930366260 13902512764 15888586016 17378140955 19860732520 27805025528 31777172032 34756281910 39721465040 55610051056 69512563820 79442930080 111220102112 139025127640 158885860160 222440204224 278050255280 556100510560 1112201021120