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21122222012200 = 23524318011363727
BaseRepresentation
bin1001100110101111001101…
…00010100011011100101000
32202210021010222011110100101
410303113212202203130220
510232031302313342300
6112531225334315144
74310013231522001
oct463274642433450
982707128143311
1021122222012200
11680397a741771
1224517654b8ab4
13ba2a80c0454a
1453046cb781a8
152696866bbb6a
hex1335e68a3728

21122222012200 has 96 divisors (see below), whose sum is σ = 50279178533760. Its totient is φ = 8247814848000.

The previous prime is 21122222012161. The next prime is 21122222012257. The reversal of 21122222012200 is 221022222112.

It is a super-2 number, since 2×211222220122002 (a number of 27 digits) contains 22 as substring.

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, 14806737 + ... + 16170463.

It is an arithmetic number, because the mean of its divisors is an integer number (523741443060).

Almost surely, 221122222012200 is an apocalyptic number.

21122222012200 is a gapful number since it is divisible by the number (20) 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 21122222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25139589266880).

21122222012200 is an abundant number, since it is smaller than the sum of its proper divisors (29156956521560).

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

21122222012200 is a wasteful number, since it uses less digits than its factorization.

21122222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365587 (or 1365578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21122222012200 its reverse (221022222112), we get a palindrome (21343244234312).

The spelling of 21122222012200 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 1801 2150 3602 4300 7204 8600 9005 14408 18010 36020 45025 72040 77443 90050 154886 180100 309772 360200 387215 619544 774430 1363727 1548860 1936075 2727454 3097720 3872150 5454908 6818635 7744300 10909816 13637270 15488600 27274540 34093175 54549080 58640261 68186350 117280522 136372700 234561044 272745400 293201305 469122088 586402610 1172805220 1466006525 2345610440 2456072327 2932013050 4912144654 5864026100 9824289308 11728052200 12280361635 19648578616 24560723270 49121446540 61401808175 98242893080 105611110061 122803616350 211222220122 245607232700 422444440244 491214465400 528055550305 844888880488 1056111100610 2112222201220 2640277751525 4224444402440 5280555503050 10561111006100 21122222012200