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122000022105 = 35131932928481
BaseRepresentation
bin111000110011111000…
…1001001101001011001
3102122220101120021001020
41301213301021221121
53444324001201410
6132013535513053
711546163035433
oct1614761115131
9378811507036
10122000022105
1147815917355
121b789688789
13b67366b7c0
145c94c09653
15329086ea70
hex1c67c49a59

122000022105 has 32 divisors (see below), whose sum is σ = 221279399040. Its totient is φ = 56900413440.

The previous prime is 122000022103. The next prime is 122000022107. The reversal of 122000022105 is 501220000221.

It is an interprime number because it is at equal distance from previous prime (122000022103) and next prime (122000022107).

It is not a de Polignac number, because 122000022105 - 21 = 122000022103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122000022103) 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, 16460536 + ... + 16467945.

It is an arithmetic number, because the mean of its divisors is an integer number (6914981220).

Almost surely, 2122000022105 is an apocalyptic number.

122000022105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122000022105 is a deficient number, since it is larger than the sum of its proper divisors (99279376935).

122000022105 is a wasteful number, since it uses less digits than its factorization.

122000022105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32928521.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 122000022105 its reverse (501220000221), we get a palindrome (623220022326).

The spelling of 122000022105 in words is "one hundred twenty-two billion, twenty-two thousand, one hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 32928481 98785443 164642405 428070253 493927215 625641139 1284210759 1876923417 2140351265 3128205695 6421053795 8133334807 9384617085 24400004421 40666674035 122000022105