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12002211032131 = 4753227123717159
BaseRepresentation
bin1010111010100111101110…
…0001100110110001000011
31120111101210201112011200101
42232221323201212301003
53033121012011012011
641305423432103231
72346062656330225
oct256517341466103
946441721464611
1012002211032131
113908122259a91
12141a138234b17
13690a5a7b4818
142d6ca54cc415
1515c3120bb2c1
hexaea7b866c43

12002211032131 has 32 divisors (see below), whose sum is σ = 12554741422080. Its totient is φ = 11464490234496.

The previous prime is 12002211032117. The next prime is 12002211032143. The reversal of 12002211032131 is 13123011220021.

It is a cyclic number.

It is not a de Polignac number, because 12002211032131 - 221 = 12002208934979 is a prime.

It is a super-2 number, since 2×120022110321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002211032099 and 12002211032108.

It is not an unprimeable number, because it can be changed into a prime (12002211032191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699461730 + ... + 699478888.

It is an arithmetic number, because the mean of its divisors is an integer number (392335669440).

Almost surely, 212002211032131 is an apocalyptic number.

12002211032131 is a deficient number, since it is larger than the sum of its proper divisors (552530389949).

12002211032131 is a wasteful number, since it uses less digits than its factorization.

12002211032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18723.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12002211032131 its reverse (13123011220021), we get a palindrome (25125222252152).

The spelling of 12002211032131 in words is "twelve trillion, two billion, two hundred eleven million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 47 53 227 1237 2491 10669 12031 17159 58139 65561 280799 565457 806473 909427 3081367 3895093 13197553 14882347 21225683 42743069 183069371 206439929 699470309 997607101 1124961199 4818230041 9702676663 52873176353 226456811927 255366192173 12002211032131