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112120102020120 = 23353135818416591
BaseRepresentation
bin11001011111100011111110…
…110110100110010000011000
3112200222120120200112101212120
4121133203332312212100120
5104143433432104120440
61034243132551541240
732421260435405025
oct3137437666462030
9480876520471776
10112120102020120
11327a7960697347
12106a976338a820
134a73b59bc000c
141d988db4d254c
15ce677b5e8dd0
hex65f8feda6418

112120102020120 has 128 divisors (see below), whose sum is σ = 347307638906880. Its totient is φ = 28926136512000.

The previous prime is 112120102020107. The next prime is 112120102020149. The reversal of 112120102020120 is 21020201021211.

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 112120102020120.

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, 9113025 + ... + 17529615.

It is an arithmetic number, because the mean of its divisors is an integer number (2713340928960).

Almost surely, 2112120102020120 is an apocalyptic number.

112120102020120 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 112120102020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173653819453440).

112120102020120 is an abundant number, since it is smaller than the sum of its proper divisors (235187536886760).

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

112120102020120 is a wasteful number, since it uses less digits than its factorization.

112120102020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420217 (or 8420213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112120102020120 its reverse (21020201021211), we get a palindrome (133140303041331).

The spelling of 112120102020120 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3581 3720 7162 10743 14324 17905 21486 28648 35810 42972 53715 71620 85944 107430 111011 143240 214860 222022 333033 429720 444044 555055 666066 888088 1110110 1332132 1665165 2220220 2664264 3330330 4440440 6660660 8416591 13321320 16833182 25249773 33666364 42082955 50499546 67332728 84165910 100999092 126248865 168331820 201998184 252497730 260914321 336663640 504995460 521828642 782742963 1009990920 1043657284 1304571605 1565485926 2087314568 2609143210 3130971852 3913714815 5218286420 6261943704 7827429630 10436572840 15654859260 30139812371 31309718520 60279624742 90419437113 120559249484 150699061855 180838874226 241118498968 301398123710 361677748452 452097185565 602796247420 723355496904 904194371130 934334183501 1205592494840 1808388742260 1868668367002 2803002550503 3616777484520 3737336734004 4671670917505 5606005101006 7474673468008 9343341835010 11212010202012 14015012752515 18686683670020 22424020404024 28030025505030 37373367340040 56060051010060 112120102020120