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12200111012001 = 3114311376085683
BaseRepresentation
bin1011000110001000111101…
…0010000111100010100001
31121012022121201020210010110
42301202033102013202201
53044341311404341001
641540353103321533
72366300060364453
oct261421722074241
947168551223113
1012200111012001
113984046678a60
1214505685b02a9
136a6608a09923
143026ba71a2d3
15162545ec23d6
hexb188f4878a1

12200111012001 has 32 divisors (see below), whose sum is σ = 18318997965312. Its totient is φ = 7158140962560.

The previous prime is 12200111011973. The next prime is 12200111012003. The reversal of 12200111012001 is 10021011100221.

It is not a de Polignac number, because 12200111012001 - 213 = 12200111003809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200111012003) 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 31 ways as a sum of consecutive naturals, for example, 37882495 + ... + 38203188.

It is an arithmetic number, because the mean of its divisors is an integer number (572468686416).

Almost surely, 212200111012001 is an apocalyptic number.

12200111012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200111012001 is a deficient number, since it is larger than the sum of its proper divisors (6118886953311).

12200111012001 is a wasteful number, since it uses less digits than its factorization.

12200111012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76085853.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200111012001 its reverse (10021011100221), we get a palindrome (22221122112222).

The spelling of 12200111012001 in words is "twelve trillion, two hundred billion, one hundred eleven million, twelve thousand, one".

Divisors: 1 3 11 33 43 113 129 339 473 1243 1419 3729 4859 14577 53449 160347 76085683 228257049 836942513 2510827539 3271684369 8597682179 9815053107 25793046537 35988528059 94574503969 107965584177 283723511907 369700333697 1109101001091 4066703670667 12200111012001