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112001221222020 = 223251347863769753
BaseRepresentation
bin11001011101110101010001…
…000000010101111010000100
3112200120012201200100010202100
4121131311101000111322010
5104140012000113101040
61034112352315512100
732406551446321644
oct3135652100257204
9480505650303670
10112001221222020
11327614a6572179
121068a706458630
134a6589284a6c0
141d92c60a86524
15ce361ea1db30
hex65dd51015e84

112001221222020 has 72 divisors (see below), whose sum is σ = 365870655999576. Its totient is φ = 27569531377152.

The previous prime is 112001221222001. The next prime is 112001221222021. The reversal of 112001221222020 is 20222122100211.

It is a happy number.

112001221222020 is a `hidden beast` number, since 1 + 1 + 200 + 1 + 221 + 2 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106756413696 + 111894464808324 = 326736^2 + 10578018^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112001221221984 and 112001221222002.

It is not an unprimeable number, because it can be changed into a prime (112001221222021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23931882537 + ... + 23931887216.

It is an arithmetic number, because the mean of its divisors is an integer number (5081536888883).

Almost surely, 2112001221222020 is an apocalyptic number.

112001221222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001221222020 is an abundant number, since it is smaller than the sum of its proper divisors (253869434777556).

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

112001221222020 is a wasteful number, since it uses less digits than its factorization.

112001221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47863769781 (or 47863769776 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112001221222020 its reverse (20222122100211), we get a palindrome (132223343322231).

The spelling of 112001221222020 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 47863769753 95727539506 143591309259 191455079012 239318848765 287182618518 430773927777 478637697530 574365237036 622229006789 717956546295 861547855554 957275395060 1244458013578 1435913092590 1723095711108 1866687020367 2153869638885 2488916027156 2871826185180 3111145033945 3733374040734 4307739277770 5600061061101 6222290067890 7466748081468 8615478555540 9333435101835 11200122122202 12444580135780 18666870203670 22400244244404 28000305305505 37333740407340 56000610611010 112001221222020