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12125456381 is a prime number
BaseRepresentation
bin10110100101011101…
…11100011111111101
31011022001012000011002
423102232330133331
5144313104101011
65323110340045
7606323451533
oct132256743775
934261160132
1012125456381
11516255a935
12242495a625
1311b314c17c
14830558153
154ae7a2c3b
hex2d2bbc7fd

12125456381 has 2 divisors, whose sum is σ = 12125456382. Its totient is φ = 12125456380.

The previous prime is 12125456303. The next prime is 12125456459. The reversal of 12125456381 is 18365452121.

It is a balanced prime because it is at equal distance from previous prime (12125456303) and next prime (12125456459).

It can be written as a sum of positive squares in only one way, i.e., 7179850756 + 4945605625 = 84734^2 + 70325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12125456381 is a prime.

It is a super-2 number, since 2×121254563812 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12125456881) 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 as a sum of consecutive naturals, namely, 6062728190 + 6062728191.

It is an arithmetic number, because the mean of its divisors is an integer number (6062728191).

Almost surely, 212125456381 is an apocalyptic number.

It is an amenable number.

12125456381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12125456381 is an equidigital number, since it uses as much as digits as its factorization.

12125456381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The spelling of 12125456381 in words is "twelve billion, one hundred twenty-five million, four hundred fifty-six thousand, three hundred eighty-one".