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1112120112120 = 2335191637297967
BaseRepresentation
bin10000001011101111100…
…001100011001111111000
310221022120120012020221020
4100023233201203033320
5121210110222041440
62210522333342440
7143230241660253
oct20135741431770
93838516166836
101112120112120
113997138a0686
1215b652937a20
1380b45aa5a54
143bb8103009a
151dddea4a3d0
hex102ef8633f8

1112120112120 has 128 divisors (see below), whose sum is σ = 3514115404800. Its totient is φ = 280784088576.

The previous prime is 1112120112109. The next prime is 1112120112157. The reversal of 1112120112120 is 212110212111.

It is a happy number.

It is a super-2 number, since 2×11121201121202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112120112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583377 + ... + 3881343.

It is an arithmetic number, because the mean of its divisors is an integer number (27454026600).

Almost surely, 21112120112120 is an apocalyptic number.

1112120112120 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 1112120112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757057702400).

1112120112120 is an abundant number, since it is smaller than the sum of its proper divisors (2401995292680).

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

1112120112120 is a wasteful number, since it uses less digits than its factorization.

1112120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299637 (or 299633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112120112120 its reverse (212110212111), we get a palindrome (1324230324231).

Subtracting from 1112120112120 its reverse (212110212111), we obtain a palindrome (900009900009).

The spelling of 1112120112120 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1637 2280 3274 4911 6548 8185 9822 13096 16370 19644 24555 31103 32740 39288 49110 62206 65480 93309 98220 124412 155515 186618 196440 248824 297967 311030 373236 466545 595934 622060 746472 893901 933090 1191868 1244120 1489835 1787802 1866180 2383736 2979670 3575604 3732360 4469505 5661373 5959340 7151208 8939010 11322746 11918680 16984119 17878020 22645492 28306865 33968238 35756040 45290984 56613730 67936476 84920595 113227460 135872952 169841190 226454920 339682380 487771979 679364760 975543958 1463315937 1951087916 2438859895 2926631874 3902175832 4877719790 5853263748 7316579685 9267667601 9755439580 11706527496 14633159370 18535335202 19510879160 27803002803 29266318740 37070670404 46338338005 55606005606 58532637480 74141340808 92676676010 111212011212 139015014015 185353352020 222424022424 278030028030 370706704040 556060056060 1112120112120