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122112041977 is a prime number
BaseRepresentation
bin111000110111001110…
…0011110001111111001
3102200012012100110102101
41301232130132033321
54000041140320402
6132033020503401
711552023142122
oct1615634361771
9380165313371
10122112041977
1147873078562
121b7bb0aab61
13b690930353
145ca5a49049
15329a5eab87
hex1c6e71e3f9

122112041977 has 2 divisors, whose sum is σ = 122112041978. Its totient is φ = 122112041976.

The previous prime is 122112041969. The next prime is 122112042023. The reversal of 122112041977 is 779140211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119514712681 + 2597329296 = 345709^2 + 50964^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112041977 - 23 = 122112041969 is a prime.

It is a super-2 number, since 2×1221120419772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112041377) 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, 61056020988 + 61056020989.

It is an arithmetic number, because the mean of its divisors is an integer number (61056020989).

Almost surely, 2122112041977 is an apocalyptic number.

It is an amenable number.

122112041977 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112041977 is an equidigital number, since it uses as much as digits as its factorization.

122112041977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 122112041977 in words is "one hundred twenty-two billion, one hundred twelve million, forty-one thousand, nine hundred seventy-seven".