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122404050324052 = 2272171912311570649
BaseRepresentation
bin11011110101001101101001…
…111100000100101001010100
3121001101201020201121000222021
4123311031221330010221110
5112020431443340332202
61112155351110342524
734532254321604200
oct3365155174045124
9531351221530867
10122404050324052
11360022a2382842
121188a88495aa44
13533b863490813
14223255d9b5b00
15e240248e2a37
hex6f5369f04a54

122404050324052 has 144 divisors (see below), whose sum is σ = 277949260512000. Its totient is φ = 46736453191680.

The previous prime is 122404050324047. The next prime is 122404050324181. The reversal of 122404050324052 is 250423050404221.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 122404050323999 and 122404050324017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77146824 + ... + 78717472.

It is an arithmetic number, because the mean of its divisors is an integer number (1930203198000).

Almost surely, 2122404050324052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122404050324052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138974630256000).

122404050324052 is an abundant number, since it is smaller than the sum of its proper divisors (155545210187948).

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

122404050324052 is a wasteful number, since it uses less digits than its factorization.

122404050324052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571934 (or 1571925 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 122404050324052 in words is "one hundred twenty-two trillion, four hundred four billion, fifty million, three hundred twenty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 476 532 646 833 931 1231 1292 1666 1862 2261 2462 3332 3724 4522 4924 8617 9044 15827 17234 20927 23389 31654 34468 41854 46778 60319 63308 83708 93556 120638 146489 163723 241276 292978 327446 397613 585956 654892 795226 1025423 1146061 1570649 1590452 2050846 2292122 2783291 3141298 4101692 4584244 5566582 6282596 10994543 11133164 19483037 21989086 26701033 29842331 38966074 43978172 53402066 59684662 76961801 77932148 106804132 119369324 153923602 186907231 208896317 307847204 373814462 417792634 507319627 747628924 835585268 1014639254 1308350617 1462274219 1933468919 2029278508 2616701234 2924548438 3551237389 3866937838 5233402468 5849096876 7102474778 7733875676 13534282433 14204949556 24858661723 27068564866 32868971623 36735909461 49717323446 54137129732 65737943246 73471818922 94739977031 99434646892 131475886492 146943637844 189479954062 230082801361 257151366227 378959908124 460165602722 514302732454 624510460837 920331205444 1028605464908 1249020921674 1610579609527 1800059563589 2498041843348 3221159219054 3600119127178 4371573225859 6442318438108 7200238254356 8743146451718 17486292903436 30601012581013 61202025162026 122404050324052