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12221112212200 = 23523119710005823
BaseRepresentation
bin1011000111010111001100…
…0011010101101011101000
31121021022211022201021212001
42301311303003111223220
53100212314211242300
641554145040100344
72400642360551413
oct261656303255350
947238738637761
1012221112212200
113991a43270561
1214546499046b4
136a85a4951ac8
1430370d982b7a
15162d74aaa16a
hexb1d730d5ae8

12221112212200 has 96 divisors (see below), whose sum is σ = 29479558901760. Its totient is φ = 4706738668800.

The previous prime is 12221112212191. The next prime is 12221112212233. The reversal of 12221112212200 is 221221112221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3781512 + ... + 6224311.

It is an arithmetic number, because the mean of its divisors is an integer number (307078738560).

Almost surely, 212221112212200 is an apocalyptic number.

12221112212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221112212200 is an abundant number, since it is smaller than the sum of its proper divisors (17258446689560).

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

12221112212200 is a wasteful number, since it uses less digits than its factorization.

12221112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006067 (or 10006058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221112212200 its reverse (221221112221), we get a palindrome (12442333324421).

The spelling of 12221112212200 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 197 200 248 310 394 620 775 788 985 1240 1550 1576 1970 3100 3940 4925 6107 6200 7880 9850 12214 19700 24428 30535 39400 48856 61070 122140 152675 244280 305350 610700 1221400 10005823 20011646 40023292 50029115 80046584 100058230 200116460 250145575 310180513 400232920 500291150 620361026 1000582300 1240722052 1550902565 1971147131 2001164600 2481444104 3101805130 3942294262 6203610260 7754512825 7884588524 9855735655 12407220520 15509025650 15769177048 19711471310 31018051300 39422942620 49278678275 61105561061 62036102600 78845885240 98557356550 122211122122 197114713100 244422244244 305527805305 394229426200 488844488488 611055610610 1222111221220 1527639026525 2444222442440 3055278053050 6110556106100 12221112212200