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11222201021200 = 24521310121367481
BaseRepresentation
bin1010001101001101111101…
…0011100011001100010000
31110201211110111002002112021
42203103133103203030100
52432331031430134300
635511224042341224
72235530413535551
oct243233723431420
943654414062467
1011222201021200
113637343a06a14
121312b304ba814
13635331119260
142ab22bda4328
15146dadc18d1a
hexa34df4e3310

11222201021200 has 120 divisors (see below), whose sum is σ = 29322766488456. Its totient is φ = 4102556160000.

The previous prime is 11222201021197. The next prime is 11222201021221. The reversal of 11222201021200 is 212010222211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 105684808464 + 11116516212736 = 325092^2 + 3334144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 10158541 + ... + 11208940.

Almost surely, 211222201021200 is an apocalyptic number.

11222201021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222201021200 is an abundant number, since it is smaller than the sum of its proper divisors (18100565467256).

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

11222201021200 is a wasteful number, since it uses less digits than its factorization.

11222201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21367613 (or 21367602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11222201021200 its reverse (212010222211), we get a palindrome (11434211243411).

The spelling of 11222201021200 in words is "eleven trillion, two hundred twenty-two billion, two hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 101 104 130 200 202 208 260 325 400 404 505 520 650 808 1010 1040 1300 1313 1616 2020 2525 2600 2626 4040 5050 5200 5252 6565 8080 10100 10504 13130 20200 21008 26260 32825 40400 52520 65650 105040 131300 262600 525200 21367481 42734962 85469924 106837405 170939848 213674810 277777253 341879696 427349620 534187025 555554506 854699240 1068374050 1111109012 1388886265 1709398480 2136748100 2158115581 2222218024 2777772530 4273496200 4316231162 4444436048 5555545060 6944431325 8546992400 8632462324 10790577905 11111090120 13888862650 17264924648 21581155810 22222180240 27777725300 28055502553 34529849296 43162311620 53952889525 55555450600 56111005106 86324623240 107905779050 111110901200 112222010212 140277512765 172649246480 215811558100 224444020424 280555025530 431623116200 448888040848 561110051060 701387563825 863246232400 1122220102120 1402775127650 2244440204240 2805550255300 5611100510600 11222201021200