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122112461 is a prime number
BaseRepresentation
bin1110100011101…
…00100111001101
322111202221210202
413101310213031
5222230044321
620041143245
73011640002
oct721644715
9274687722
10122112461
1162a24999
1234a8ab25
131c3b65c3
14123098a9
15aac170b
hex74749cd

122112461 has 2 divisors, whose sum is σ = 122112462. Its totient is φ = 122112460.

The previous prime is 122112443. The next prime is 122112481. The reversal of 122112461 is 164211221.

It is a happy number.

It is an a-pointer prime, because the next prime (122112481) can be obtained adding 122112461 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120340900 + 1771561 = 10970^2 + 1331^2 .

It is an emirp because it is prime and its reverse (164211221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112461 is a prime.

It is a super-2 number, since 2×1221124612 = 29822906262953042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056230 + 61056231.

It is an arithmetic number, because the mean of its divisors is an integer number (61056231).

Almost surely, 2122112461 is an apocalyptic number.

It is an amenable number.

122112461 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112461 is an equidigital number, since it uses as much as digits as its factorization.

122112461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 122112461 is about 11050.4507147899. The cubic root of 122112461 is about 496.1199157794.

Adding to 122112461 its reverse (164211221), we get a palindrome (286323682).

The spelling of 122112461 in words is "one hundred twenty-two million, one hundred twelve thousand, four hundred sixty-one".