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12222220200200 = 2352347235774719
BaseRepresentation
bin1011000111011011010100…
…0101111110100100001000
31121021102200112120220122122
42301312311011332210020
53100222101332401300
641554451020110412
72401012003364213
oct261666505764410
947242615526578
1012222220200200
11399246174131a
1214548b8995408
136a872036b5ca
143037b6ba077a
15162ddbebcc85
hexb1db517e908

12222220200200 has 96 divisors (see below), whose sum is σ = 28511026963200. Its totient is φ = 4872665629440.

The previous prime is 12222220200173. The next prime is 12222220200227. The reversal of 12222220200200 is 200202222221.

12222220200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12222220200173) and next prime (12222220200227).

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, 163538441 + ... + 163613159.

It is an arithmetic number, because the mean of its divisors is an integer number (296989864200).

Almost surely, 212222220200200 is an apocalyptic number.

12222220200200 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 12222220200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255513481600).

12222220200200 is an abundant number, since it is smaller than the sum of its proper divisors (16288806763000).

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

12222220200200 is a wasteful number, since it uses less digits than its factorization.

12222220200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77439 (or 77430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12222220200200 its reverse (200202222221), we get a palindrome (12422422422421).

The spelling of 12222220200200 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 347 694 1388 1735 2357 2776 3470 4714 6940 8675 9428 11785 13880 17350 18856 23570 34700 47140 58925 69400 74719 94280 117850 149438 235700 298876 373595 471400 597752 747190 817879 1494380 1635758 1867975 2988760 3271516 3735950 4089395 6543032 7471900 8178790 14943800 16357580 20446975 25927493 32715160 40893950 51854986 81787900 103709972 129637465 163575800 176112683 207419944 259274930 352225366 518549860 648187325 704450732 880563415 1037099720 1296374650 1408901464 1761126830 2592749300 3522253660 4402817075 5185498600 7044507320 8805634150 17611268300 35222536600 61111101001 122222202002 244444404004 305555505005 488888808008 611111010010 1222222020020 1527777525025 2444444040040 3055555050050 6111110100100 12222220200200