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122116672116 = 22342271660367
BaseRepresentation
bin111000110111010111…
…0001000101001110100
3102200012112001200210000
41301232232020221310
54000043332001431
6132033304031300
711552110405065
oct1615656105164
9380175050700
10122116672116
114787575021a
121b800762530
13b69189198a
145ca64d256c
15329ac129e6
hex1c6eb88a74

122116672116 has 60 divisors (see below), whose sum is σ = 320643626688. Its totient is φ = 40526213328.

The previous prime is 122116672081. The next prime is 122116672193. The reversal of 122116672116 is 611276611221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 756636 + ... + 903731.

Almost surely, 2122116672116 is an apocalyptic number.

It is an amenable number.

122116672116 is an abundant number, since it is smaller than the sum of its proper divisors (198526954572).

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

122116672116 is a wasteful number, since it uses less digits than its factorization.

122116672116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660610 (or 1660599 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 122116672116 in words is "one hundred twenty-two billion, one hundred sixteen million, six hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 324 454 681 908 1362 2043 2724 4086 6129 8172 12258 18387 24516 36774 73548 1660367 3320734 4981101 6641468 9962202 14943303 19924404 29886606 44829909 59773212 89659818 134489727 179319636 268979454 376903309 537958908 753806618 1130709927 1507613236 2261419854 3392129781 4522839708 6784259562 10176389343 13568519124 20352778686 30529168029 40705557372 61058336058 122116672116