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121266141662121 = 31713917899561901
BaseRepresentation
bin11011100100101001111001…
…010011000000101110101001
3120220100221002220200201020120
4123210221321103000232221
5111343311024231141441
61105524521342513453
734354122015555321
oct3344517123005651
9526327086621216
10121266141662121
1135703755625a85
1211726235595889
13528846a9aa351
1421d34539b4281
15e04625d60966
hex6e4a794c0ba9

121266141662121 has 32 divisors (see below), whose sum is σ = 172527310166400. Its totient is φ = 75498926515200.

The previous prime is 121266141662111. The next prime is 121266141662123.

121266141662121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-121266141662121 is a prime.

It is a super-2 number, since 2×1212661416621212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121266141662123) 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, 7901271 + ... + 17463171.

It is an arithmetic number, because the mean of its divisors is an integer number (5391478442700).

Almost surely, 2121266141662121 is an apocalyptic number.

It is an amenable number.

121266141662121 is a deficient number, since it is larger than the sum of its proper divisors (51261168504279).

121266141662121 is a wasteful number, since it uses less digits than its factorization.

121266141662121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9563849.

The product of its digits is 82944, while the sum is 42.

The spelling of 121266141662121 in words is "one hundred twenty-one trillion, two hundred sixty-six billion, one hundred forty-one million, six hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 17 51 139 417 1789 2363 5367 7089 30413 91239 248671 746013 4227407 9561901 12682221 28685703 162552317 487656951 1329104239 3987312717 17106240889 22594772063 51318722667 67784316189 290806095113 872418285339 2377767483571 7133302450713 40422047220707 121266141662121