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122022221012109 = 361129524711659
BaseRepresentation
bin11011101111101010000011…
…001000110101110010001101
3121000001012200101101021000000
4123233222003020311302031
5111443203002034341414
61111304122351154513
734462546250161125
oct3357520310656215
9530035611337000
10122022221012109
1135975373715310
1211828882b15a39
135311852546302
14221bc9ab91c85
15e1912836bb09
hex6efa83235c8d

122022221012109 has 56 divisors (see below), whose sum is σ = 206463543976800. Its totient is φ = 71402762420640.

The previous prime is 122022221012033. The next prime is 122022221012129. The reversal of 122022221012109 is 901210122220221.

122022221012109 is a `hidden beast` number, since 1 + 220 + 2 + 2 + 221 + 0 + 1 + 210 + 9 = 666.

It is not a de Polignac number, because 122022221012109 - 27 = 122022221011981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022221012129) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 262123279 + ... + 262588380.

Almost surely, 2122022221012109 is an apocalyptic number.

It is an amenable number.

122022221012109 is a deficient number, since it is larger than the sum of its proper divisors (84441322964691).

122022221012109 is an equidigital number, since it uses as much as digits as its factorization.

122022221012109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524711717 (or 524711702 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 122022221012109 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred nine".

Divisors: 1 3 9 11 27 29 33 81 87 99 243 261 297 319 729 783 891 957 2349 2673 2871 7047 8019 8613 21141 25839 77517 232551 524711659 1574134977 4722404931 5771828249 14167214793 15216638111 17315484747 42501644379 45649914333 51946454241 127504933137 136949742999 155839362723 167383019221 382514799411 410849228997 467518088169 502149057663 1232547686991 1402554264507 1506447172989 3697643060973 4207662793521 4519341518967 11092929182919 13558024556901 40674073670703 122022221012109