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12011113333200 = 2435231873140653
BaseRepresentation
bin1010111011001000111000…
…1001001100000111010000
31120112020210010202220221210
42232302032021030013100
53033242230003130300
641313455043220120
72346526404541602
oct256621611140720
946466703686853
1012011113333200
1139109803905a3
12141ba01677640
13691848c487a7
142d74ab951172
1515c6838ea050
hexaec8e24c1d0

12011113333200 has 120 divisors (see below), whose sum is σ = 38487684635488. Its totient is φ = 3201957527040.

The previous prime is 12011113333189. The next prime is 12011113333207. The reversal of 12011113333200 is 233331111021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011113333207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2254074 + ... + 5394726.

Almost surely, 212011113333200 is an apocalyptic number.

12011113333200 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 12011113333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243842317744).

12011113333200 is an abundant number, since it is smaller than the sum of its proper divisors (26476571302288).

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

12011113333200 is a wasteful number, since it uses less digits than its factorization.

12011113333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143861 (or 3143850 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011113333200 its reverse (233331111021), we get a palindrome (12244444444221).

The spelling of 12011113333200 in words is "twelve trillion, eleven billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3187 6374 9561 12748 15935 19122 25496 31870 38244 47805 50992 63740 76488 79675 95610 127480 152976 159350 191220 239025 254960 318700 382440 478050 637400 764880 956100 1274800 1912200 3140653 3824400 6281306 9421959 12562612 15703265 18843918 25125224 31406530 37687836 47109795 50250448 62813060 75375672 78516325 94219590 125626120 150751344 157032650 188439180 235548975 251252240 314065300 376878360 471097950 628130600 753756720 942195900 1256261200 1884391800 3768783600 10009261111 20018522222 30027783333 40037044444 50046305555 60055566666 80074088888 100092611110 120111133332 150138916665 160148177776 200185222220 240222266664 250231527775 300277833330 400370444440 480444533328 500463055550 600555666660 750694583325 800740888880 1000926111100 1201111333320 1501389166650 2001852222200 2402222666640 3002778333300 4003704444400 6005556666600 12011113333200