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122123032012193 is a prime number
BaseRepresentation
bin11011110001000111111011…
…111100010010010110100001
3121000101211220002001200012212
4123301013323330102112201
5112001330432143342233
61111422314004531505
734503045402426302
oct3361077374222641
9530354802050185
10122123032012193
1135a040a5914813
12118443183b0b95
13531b1ca08a754
142222b018027a9
15e1ba788a2a48
hex6f11fbf125a1

122123032012193 has 2 divisors, whose sum is σ = 122123032012194. Its totient is φ = 122123032012192.

The previous prime is 122123032012171. The next prime is 122123032012211. The reversal of 122123032012193 is 391210230321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120436950538129 + 1686081474064 = 10974377^2 + 1298492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122123032012193 is a prime.

It is a super-2 number, since 2×1221230320121932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122123032012393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061516006096 + 61061516006097.

It is an arithmetic number, because the mean of its divisors is an integer number (61061516006097).

Almost surely, 2122123032012193 is an apocalyptic number.

It is an amenable number.

122123032012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123032012193 is an equidigital number, since it uses as much as digits as its factorization.

122123032012193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 122123032012193 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, thirty-two million, twelve thousand, one hundred ninety-three".