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12415142120431 is a prime number
BaseRepresentation
bin1011010010101010000000…
…1000101100101111101111
31121221212122121012220001111
42310222200020230233233
53111402202340323211
642223234302252451
72420651536554151
oct264524010545757
947855577186044
1012415142120431
113a57261079416
121486179b87127
136c09871474ab
1430cc78bdcad1
15167e2dd53421
hexb4aa022cbef

12415142120431 has 2 divisors, whose sum is σ = 12415142120432. Its totient is φ = 12415142120430.

The previous prime is 12415142120419. The next prime is 12415142120443. The reversal of 12415142120431 is 13402124151421.

12415142120431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12415142120419) and next prime (12415142120443).

It is a cyclic number.

It is not a de Polignac number, because 12415142120431 - 217 = 12415141989359 is a prime.

It is a super-2 number, since 2×124151421204312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12415142120393 and 12415142120402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12415142150431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6207571060215 + 6207571060216.

It is an arithmetic number, because the mean of its divisors is an integer number (6207571060216).

Almost surely, 212415142120431 is an apocalyptic number.

12415142120431 is a deficient number, since it is larger than the sum of its proper divisors (1).

12415142120431 is an equidigital number, since it uses as much as digits as its factorization.

12415142120431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 12415142120431 its reverse (13402124151421), we get a palindrome (25817266271852).

The spelling of 12415142120431 in words is "twelve trillion, four hundred fifteen billion, one hundred forty-two million, one hundred twenty thousand, four hundred thirty-one".