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122421151010032 = 24741178927535413
BaseRepresentation
bin11011110101011101100101…
…001110000000110011110000
3121001110100101111112220002021
4123311131211032000303300
5112021222004124310112
61112211300025401224
734533431150205430
oct3365354516006360
9531410344486067
10122421151010032
1136009578261276
1211892057939214
13534035a2a7a14
142233302bc42c0
15e246c5d57907
hex6f5765380cf0

122421151010032 has 160 divisors (see below), whose sum is σ = 277994490963840. Its totient is φ = 51129902039040.

The previous prime is 122421151009987. The next prime is 122421151010057. The reversal of 122421151010032 is 230010151124221.

It is a junction number, because it is equal to n+sod(n) for n = 122421151009979 and 122421151010006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22616134558 + ... + 22616139970.

It is an arithmetic number, because the mean of its divisors is an integer number (1737465568524).

Almost surely, 2122421151010032 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 122421151010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138997245481920).

122421151010032 is an abundant number, since it is smaller than the sum of its proper divisors (155573339953808).

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

122421151010032 is a wasteful number, since it uses less digits than its factorization.

122421151010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 122421151010032 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, one hundred fifty-one million, ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1789 2296 2753 3578 4592 5413 5506 7156 10826 11012 12523 14312 19271 21652 22024 25046 28624 37891 38542 43304 44048 50092 73349 75782 77084 86608 100184 112873 146698 151564 154168 200368 221933 225746 293396 303128 308336 443866 451492 513443 586792 606256 790111 887732 902984 1026886 1173584 1553531 1580222 1775464 1805968 2053772 3107062 3160444 3550928 4107544 4925117 6214124 6320888 8215088 9683857 9850234 12428248 12641776 14901989 19367714 19700468 24856496 29803978 34475819 38735428 39400936 59607956 67786999 68951638 77470856 78801872 104313923 119215912 135573998 137903276 154941712 201929797 208627846 238431824 271147996 275806552 397038137 403859594 417255692 542295992 551613104 610981549 794076274 807719188 834511384 1084591984 1221963098 1413508579 1588152548 1615438376 1669022768 2443926196 2779266959 2827017158 3176305096 3230876752 4276870843 4887852392 5558533918 5654034316 6352610192 8553741686 9775704784 11117067836 11308068632 17107483372 22234135672 22616137264 26659658321 34214966744 44468271344 53319316642 68429933488 106638633284 186617608247 213277266568 373235216494 426554533136 746470432988 1093045991161 1492940865976 2186091982322 2985881731952 4372183964644 7651321938127 8744367929288 15302643876254 17488735858576 30605287752508 61210575505016 122421151010032