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122332961 is a prime number
BaseRepresentation
bin1110100101010…
…10011100100001
322112012011021102
413102222130201
5222304123321
620050004145
73013545602
oct722523441
9275164242
10122332961
1163065623
1234b76655
131c462a8a
1412365da9
15ab16c0b
hex74aa721

122332961 has 2 divisors, whose sum is σ = 122332962. Its totient is φ = 122332960.

The previous prime is 122332943. The next prime is 122333027. The reversal of 122332961 is 169233221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 16654561 = 10280^2 + 4081^2 .

It is a cyclic number.

It is not a de Polignac number, because 122332961 - 226 = 55224097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122332921) 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, 61166480 + 61166481.

It is an arithmetic number, because the mean of its divisors is an integer number (61166481).

Almost surely, 2122332961 is an apocalyptic number.

It is an amenable number.

122332961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122332961 is an equidigital number, since it uses as much as digits as its factorization.

122332961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 122332961 is about 11060.4231835857. The cubic root of 122332961 is about 496.4183528691.

The spelling of 122332961 in words is "one hundred twenty-two million, three hundred thirty-two thousand, nine hundred sixty-one".