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122057137686 = 2311531091572039
BaseRepresentation
bin111000110101100101…
…1000001111000010110
3102200001101001000220010
41301223023001320112
53444433111401221
6132023340021050
711550455360241
oct1615313017026
9380041030803
10122057137686
1147845088110
121b7a4831786
13b6824488c3
145c9c636258
1532958a2c76
hex1c6b2c1e16

122057137686 has 128 divisors (see below), whose sum is σ = 275699635200. Its totient is φ = 35709672960.

The previous prime is 122057137681. The next prime is 122057137703. The reversal of 122057137686 is 686731750221.

It is a super-2 number, since 2×1220571376862 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122057137681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59860255 + ... + 59862293.

It is an arithmetic number, because the mean of its divisors is an integer number (2153903400).

Almost surely, 2122057137686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122057137686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137849817600).

122057137686 is an abundant number, since it is smaller than the sum of its proper divisors (153642497514).

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

122057137686 is a wasteful number, since it uses less digits than its factorization.

122057137686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 122057137686 in words is "one hundred twenty-two billion, fifty-seven million, one hundred thirty-seven thousand, six hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 109 157 159 218 314 318 327 471 583 654 942 1166 1199 1727 1749 2039 2398 3454 3498 3597 4078 5181 5777 6117 7194 8321 10362 11554 12234 16642 17113 17331 22429 24963 34226 34662 44858 49926 51339 63547 67287 91531 102678 108067 127094 134574 183062 188243 190641 216134 222251 274593 320123 324201 376486 381282 444502 549186 564729 640246 648402 666753 906989 960369 1129458 1188737 1333506 1813978 1920738 2377474 2444761 2720967 3521353 3566211 4889522 5441934 7042706 7132422 7334283 9976879 10564059 11779303 14668566 16966519 19953758 21128118 23558606 29930637 33933038 34893407 35337909 50899557 59861274 69786814 70675818 101799114 104680221 129572333 186631709 209360442 259144666 373263418 383827477 388716999 559895127 767654954 777433998 1119790254 1151482431 1849350571 2302964862 3698701142 5548051713 11096103426 20342856281 40685712562 61028568843 122057137686