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12412460993 is a prime number
BaseRepresentation
bin10111000111101011…
…10001111111000001
31012001001020100110112
423203311301333001
5200410042222433
65411402041105
7616410114632
oct134365617701
935031210415
1012412460993
11529a568729
1224a4aa9195
13122a749b9a
1485a707889
154c9a96348
hex2e3d71fc1

12412460993 has 2 divisors, whose sum is σ = 12412460994. Its totient is φ = 12412460992.

The previous prime is 12412460891. The next prime is 12412461023. The reversal of 12412460993 is 39906421421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9031271089 + 3381189904 = 95033^2 + 58148^2 .

It is a cyclic number.

It is not a de Polignac number, because 12412460993 - 28 = 12412460737 is a prime.

It is a super-3 number, since 3×124124609933 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12412460993.

It is not a weakly prime, because it can be changed into another prime (12412460693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6206230496 + 6206230497.

It is an arithmetic number, because the mean of its divisors is an integer number (6206230497).

Almost surely, 212412460993 is an apocalyptic number.

It is an amenable number.

12412460993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12412460993 is an equidigital number, since it uses as much as digits as its factorization.

12412460993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 12412460993 in words is "twelve billion, four hundred twelve million, four hundred sixty thousand, nine hundred ninety-three".