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12200112131141 = 111724519849241
BaseRepresentation
bin1011000110001000111101…
…0110011000110001000101
31121012022121210100122022002
42301202033112120301011
53044341312201144031
641540353143315045
72366300103035324
oct261421726306105
947168553318262
1012200112131141
113984047272870
121450568a4ba85
136a660900c13c
143026ba92c0bb
15162546143ccb
hexb188f598c45

12200112131141 has 24 divisors (see below), whose sum is σ = 14141306026560. Its totient is φ = 10436276390400.

The previous prime is 12200112131093. The next prime is 12200112131149. The reversal of 12200112131141 is 14113121100221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12200112131141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200112131149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13941281 + ... + 14790521.

It is an arithmetic number, because the mean of its divisors is an integer number (589221084440).

Almost surely, 212200112131141 is an apocalyptic number.

12200112131141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200112131141 is a deficient number, since it is larger than the sum of its proper divisors (1941193895419).

12200112131141 is a wasteful number, since it uses less digits than its factorization.

12200112131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853805 (or 853788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12200112131141 its reverse (14113121100221), we get a palindrome (26313233231362).

The spelling of 12200112131141 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 17 187 289 3179 4519 49709 76823 845053 849241 1305991 9341651 14365901 14437097 158808067 245430649 2699737139 3837720079 42214920869 65241241343 717653654773 1109101102831 12200112131141