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12200222112102 = 233616136042041
BaseRepresentation
bin1011000110001001010111…
…1001111011100101100110
31121012022220110022020211000
42301202111321323211212
53044342023330041402
641540412112454130
72366302606620453
oct261422571734546
947168813266730
1012200222112102
1139840a3361122
12145059984a346
136a6625a3892b
143026cb39a82a
15162550b1ac1c
hexb1895e7b966

12200222112102 has 64 divisors (see below), whose sum is σ = 27601014582720. Its totient is φ = 3993546758400.

The previous prime is 12200222112101. The next prime is 12200222112107. The reversal of 12200222112102 is 20121122200221.

It is a happy number.

12200222112102 is a `hidden beast` number, since 1 + 220 + 0 + 22 + 211 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200222112101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001799 + ... + 5040242.

It is an arithmetic number, because the mean of its divisors is an integer number (431265852855).

Almost surely, 212200222112102 is an apocalyptic number.

12200222112102 is an abundant number, since it is smaller than the sum of its proper divisors (15400792470618).

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

12200222112102 is a wasteful number, since it uses less digits than its factorization.

12200222112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042726 (or 6042720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200222112102 its reverse (20121122200221), we get a palindrome (32321344312323).

The spelling of 12200222112102 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 613 1098 1226 1647 1839 3294 3678 5517 11034 16551 33102 37393 74786 112179 224358 336537 673074 1009611 2019222 6042041 12084082 18126123 36252246 54378369 108756738 163135107 326270214 368564501 737129002 1105693503 2211387006 3317080509 3703771133 6634161018 7407542266 9951241527 11111313399 19902483054 22222626798 33333940197 66667880394 100001820591 200003641182 225930039113 451860078226 677790117339 1355580234678 2033370352017 4066740704034 6100111056051 12200222112102