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122112876107 is a prime number
BaseRepresentation
bin111000110111001111…
…1101001111001001011
3102200012020220211122002
41301232133221321023
54000041344013412
6132033050421215
711552033215025
oct1615637517113
9380166824562
10122112876107
1147873598222
121b7bb43180b
13b690b62c11
145ca5bc5015
15329a712dc2
hex1c6e7e9e4b

122112876107 has 2 divisors, whose sum is σ = 122112876108. Its totient is φ = 122112876106.

The previous prime is 122112876079. The next prime is 122112876133. The reversal of 122112876107 is 701678211221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112876107 is a prime.

It is a super-2 number, since 2×1221128761072 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112876167) 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, 61056438053 + 61056438054.

It is an arithmetic number, because the mean of its divisors is an integer number (61056438054).

Almost surely, 2122112876107 is an apocalyptic number.

122112876107 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112876107 is an equidigital number, since it uses as much as digits as its factorization.

122112876107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 38.

The spelling of 122112876107 in words is "one hundred twenty-two billion, one hundred twelve million, eight hundred seventy-six thousand, one hundred seven".