Search a number
-
+
122000120100012 = 223721121714737169
BaseRepresentation
bin11011101111010101011101…
…110100100011010010101100
3120222222002122010121121011010
4123233111131310203102230
5111442322221221200022
61111250025332025220
734461134464421100
oct3357253564432254
9528862563547133
10122000120100012
1135966a62294a00
1211824535462210
13530c73c82162b
14221aba1863900
15e18782e5850c
hex6ef55dd234ac

122000120100012 has 108 divisors (see below), whose sum is σ = 363983829601560. Its totient is φ = 31688342864640.

The previous prime is 122000120099981. The next prime is 122000120100043. The reversal of 122000120100012 is 210001021000221.

It is an interprime number because it is at equal distance from previous prime (122000120099981) and next prime (122000120100043).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 857297437 + ... + 857439732.

Almost surely, 2122000120100012 is an apocalyptic number.

122000120100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000120100012 is an abundant number, since it is smaller than the sum of its proper divisors (241983709501548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122000120100012 is a wasteful number, since it uses less digits than its factorization.

122000120100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714737212 (or 1714737192 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000120100012 its reverse (210001021000221), we get a palindrome (332001141100233).

The spelling of 122000120100012 in words is "one hundred twenty-two trillion, one hundred twenty million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 10164 11858 17787 23716 35574 71148 1714737169 3429474338 5144211507 6858948676 10288423014 12003160183 18862108859 20576846028 24006320366 36009480549 37724217718 48012640732 56586326577 72018961098 75448435436 84022121281 113172653154 132034762013 144037922196 168044242562 207483197449 226345306308 252066363843 264069524026 336088485124 396104286039 414966394898 504132727686 528139048052 622449592347 792208572078 829932789796 924243334091 1008265455372 1244899184694 1452382382143 1584417144156 1848486668182 2489798369388 2772730002273 2904764764286 3696973336364 4357147146429 5545460004546 5809529528572 8714294292858 10166676675001 11090920009092 17428588585716 20333353350002 30500030025003 40666706700004 61000060050006 122000120100012