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122112197 is a prime number
BaseRepresentation
bin1110100011101…
…00100011000101
322111202221102222
413101310203011
5222230042242
620041142125
73011636144
oct721644305
9274687388
10122112197
1162a24779
1234a8a945
131c3b644c
141230975b
15aac15d2
hex74748c5

122112197 has 2 divisors, whose sum is σ = 122112198. Its totient is φ = 122112196.

The previous prime is 122112187. The next prime is 122112209. The reversal of 122112197 is 791211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93103201 + 29008996 = 9649^2 + 5386^2 .

It is an emirp because it is prime and its reverse (791211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122112197 - 224 = 105334981 is a prime.

It is a super-2 number, since 2×1221121972 = 29822777312333618, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056098 + 61056099.

It is an arithmetic number, because the mean of its divisors is an integer number (61056099).

Almost surely, 2122112197 is an apocalyptic number.

It is an amenable number.

122112197 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112197 is an equidigital number, since it uses as much as digits as its factorization.

122112197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 26.

The square root of 122112197 is about 11050.4387695693. The cubic root of 122112197 is about 496.1195582517.

The spelling of 122112197 in words is "one hundred twenty-two million, one hundred twelve thousand, one hundred ninety-seven".