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2112220012200 = 2335217919666853
BaseRepresentation
bin11110101111001010000…
…111111001111010101000
321110221000020121010120020
4132233022013321322220
5234101311310342300
64254201313200440
7305413531604214
oct36571207717250
97427006533506
102112220012200
11744873149a21
122a1442260120
1312424897b75c
147433683d944
1539e24e468a0
hex1ebca1f9ea8

2112220012200 has 96 divisors (see below), whose sum is σ = 6584462719200. Its totient is φ = 560111944960.

The previous prime is 2112220012121. The next prime is 2112220012247. The reversal of 2112220012200 is 22100222112.

It is a super-2 number, since 2×21122200122002 (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 2112220012200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9726027 + ... + 9940826.

It is an arithmetic number, because the mean of its divisors is an integer number (68588153325).

Almost surely, 22112220012200 is an apocalyptic number.

2112220012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112220012200 is an abundant number, since it is smaller than the sum of its proper divisors (4472242707000).

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

2112220012200 is a wasteful number, since it uses less digits than its factorization.

2112220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667051 (or 19667042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2112220012200 its reverse (22100222112), we get a palindrome (2134320234312).

The spelling of 2112220012200 in words is "two trillion, one hundred twelve billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 300 358 537 600 716 895 1074 1432 1790 2148 2685 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 26850 35800 53700 107400 19666853 39333706 59000559 78667412 98334265 118001118 157334824 196668530 236002236 295002795 393337060 472004472 491671325 590005590 786674120 983342650 1180011180 1475013975 1966685300 2360022360 2950027950 3520366687 3933370600 5900055900 7040733374 10561100061 11800111800 14081466748 17601833435 21122200122 28162933496 35203666870 42244400244 52805500305 70407333740 84488800488 88009167175 105611000610 140814667480 176018334350 211222001220 264027501525 352036668700 422444002440 528055003050 704073337400 1056110006100 2112220012200