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12012211121100 = 22352131305654227
BaseRepresentation
bin1010111011001100111110…
…0100111010101111001100
31120112100121122110022211220
42232303033210322233030
53033302002021333400
641314200020443340
72346565534562451
oct256631744725714
946470548408756
1012012211121100
113911394024923
121420069249550
13691992503628
142d7573675828
1515c6e9e957a0
hexaeccf93abcc

12012211121100 has 72 divisors (see below), whose sum is σ = 35020638827328. Its totient is φ = 3178803950400.

The previous prime is 12012211121093. The next prime is 12012211121167. The reversal of 12012211121100 is 112111221021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012211121100.

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, 152787814 + ... + 152866413.

Almost surely, 212012211121100 is an apocalyptic number.

12012211121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012211121100 is an abundant number, since it is smaller than the sum of its proper divisors (23008427706228).

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

12012211121100 is a wasteful number, since it uses less digits than its factorization.

12012211121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305654375 (or 305654368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12012211121100 its reverse (112111221021), we get a palindrome (12124322342121).

The spelling of 12012211121100 in words is "twelve trillion, twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 305654227 611308454 916962681 1222616908 1528271135 1833925362 3056542270 3667850724 4584813405 6113084540 7641355675 9169626810 15282711350 18339253620 22924067025 30565422700 40040703737 45848134050 80081407474 91696268100 120122111211 160162814948 200203518685 240244222422 400407037370 480488444844 600610556055 800814074740 1001017593425 1201221112110 2002035186850 2402442224220 3003052780275 4004070373700 6006105560550 12012211121100