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1112110001220 = 2235373791321769
BaseRepresentation
bin10000001011101110111…
…010111110110001000100
310221022112212011120101110
4100023232322332301010
5121210100130014340
62210521332525020
7143230060016361
oct20135672766104
93838485146343
101112110001220
11399709115169
1215b64b480770
1380b4397587a
143bb7d95b468
151ddddbee680
hex102eeebec44

1112110001220 has 96 divisors (see below), whose sum is σ = 3206508278400. Its totient is φ = 287785903104.

The previous prime is 1112110001207. The next prime is 1112110001221. The reversal of 1112110001220 is 221000112111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1112110001196 and 1112110001205.

It is not an unprimeable number, because it can be changed into a prime (1112110001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180496 + ... + 1502264.

It is an arithmetic number, because the mean of its divisors is an integer number (33401127900).

Almost surely, 21112110001220 is an apocalyptic number.

1112110001220 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 1112110001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603254139200).

1112110001220 is an abundant number, since it is smaller than the sum of its proper divisors (2094398277180).

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

1112110001220 is a wasteful number, since it uses less digits than its factorization.

1112110001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322197 (or 1322195 counting only the distinct ones).

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

Adding to 1112110001220 its reverse (221000112111), we get a palindrome (1333110113331).

The spelling of 1112110001220 in words is "one trillion, one hundred twelve billion, one hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 379 444 555 740 758 1110 1137 1516 1895 2220 2274 3790 4548 5685 7580 11370 14023 22740 28046 42069 56092 70115 84138 140230 168276 210345 280460 420690 841380 1321769 2643538 3965307 5287076 6608845 7930614 13217690 15861228 19826535 26435380 39653070 48905453 79306140 97810906 146716359 195621812 244527265 293432718 489054530 500950451 586865436 733581795 978109060 1001900902 1467163590 1502851353 2003801804 2504752255 2934327180 3005702706 5009504510 6011405412 7514256765 10019009020 15028513530 18535166687 30057027060 37070333374 55605500061 74140666748 92675833435 111211000122 185351666870 222422000244 278027500305 370703333740 556055000610 1112110001220