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12200111001100 = 22521117652412353
BaseRepresentation
bin1011000110001000111101…
…0010000100111000001100
31121012022121201020020011201
42301202033102010320030
53044341311404013400
641540353103155244
72366300060320621
oct261421722047014
947168551206151
1012200111001100
113984046670850
1214505685a5b24
136a6608a04989
143026ba716348
15162545ebe06a
hexb188f484e0c

12200111001100 has 72 divisors (see below), whose sum is σ = 30579871856688. Its totient is φ = 4175439052800.

The previous prime is 12200111001041. The next prime is 12200111001119. The reversal of 12200111001100 is 110011100221.

It is a super-2 number, since 2×122001110011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 326187477 + ... + 326224876.

It is an arithmetic number, because the mean of its divisors is an integer number (424720442454).

Almost surely, 212200111001100 is an apocalyptic number.

12200111001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200111001100 is an abundant number, since it is smaller than the sum of its proper divisors (18379760855588).

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

12200111001100 is a wasteful number, since it uses less digits than its factorization.

12200111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652412395 (or 652412388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12200111001100 its reverse (110011100221), we get a palindrome (12310122101321).

The spelling of 12200111001100 in words is "twelve trillion, two hundred billion, one hundred eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 652412353 1304824706 2609649412 3262061765 6524123530 7176535883 11091010001 13048247060 14353071766 16310308825 22182020002 28706143532 32620617650 35882679415 44364040004 55455050005 65241235300 71765358830 110910100010 122001110011 143530717660 179413397075 221820200020 244002220022 277275250025 358826794150 488004440044 554550500050 610005550055 717653588300 1109101000100 1220011100110 2440022200220 3050027750275 6100055500550 12200111001100