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122112001209 = 31137947105607
BaseRepresentation
bin111000110111001110…
…0010100010010111001
3102200012012021101111110
41301232130110102321
54000041133014314
6132033015550533
711552022612222
oct1615634242271
9380165241443
10122112001209
114787304a970
121b7bb08b449
13b690917923
145ca5a38249
15329a5dda59
hex1c6e7144b9

122112001209 has 32 divisors (see below), whose sum is σ = 182612284416. Its totient is φ = 71930358720.

The previous prime is 122112001177. The next prime is 122112001241. The reversal of 122112001209 is 902100211221.

It is an interprime number because it is at equal distance from previous prime (122112001177) and next prime (122112001241).

It is not a de Polignac number, because 122112001209 - 25 = 122112001177 is a prime.

It is a super-2 number, since 2×1221120012092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112001259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103484 + ... + 1209090.

It is an arithmetic number, because the mean of its divisors is an integer number (5706633888).

Almost surely, 2122112001209 is an apocalyptic number.

It is an amenable number.

122112001209 is a deficient number, since it is larger than the sum of its proper divisors (60500283207).

122112001209 is a wasteful number, since it uses less digits than its factorization.

122112001209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106605.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 122112001209 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, two hundred nine".

Divisors: 1 3 11 33 37 111 407 947 1221 2841 10417 31251 35039 105117 105607 316821 385429 1156287 1161677 3485031 3907459 11722377 42982049 100009829 128946147 300029487 1100108119 3300324357 3700363673 11101091019 40704000403 122112001209