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120404101143312 = 24337119393334967
BaseRepresentation
bin11011011000000111000011…
…101011011001101100010000
3120210022112000211101001221000
4123120013003223121230100
5111240200044343041222
61104024514102502000
734234623604215210
oct3330070353315420
9523275024331830
10120404101143312
1135401102192248
1211607155a34900
13522509a61071c
1421a3837b94240
15ddbec11029ac
hex6d81c3ad9b10

120404101143312 has 160 divisors (see below), whose sum is σ = 395009617766400. Its totient is φ = 34398280029312.

The previous prime is 120404101143251. The next prime is 120404101143349. The reversal of 120404101143312 is 213341101404021.

It is a happy number.

120404101143312 is a `hidden beast` number, since 1 + 2 + 0 + 404 + 101 + 143 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34436053 + ... + 37771019.

It is an arithmetic number, because the mean of its divisors is an integer number (2468810111040).

Almost surely, 2120404101143312 is an apocalyptic number.

120404101143312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120404101143312 is an abundant number, since it is smaller than the sum of its proper divisors (274605516623088).

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

120404101143312 is a wasteful number, since it uses less digits than its factorization.

120404101143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346930 (or 3346918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 120404101143312 its reverse (213341101404021), we get a palindrome (333745202547333).

The spelling of 120404101143312 in words is "one hundred twenty trillion, four hundred four billion, one hundred one million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 11939 23878 35817 47756 71634 83573 95512 107451 143268 167146 191024 214902 250719 286536 322353 334292 429804 501438 573072 644706 668584 752157 859608 1002876 1289412 1337168 1504314 1719216 2005752 2256471 2578824 3008628 3334967 4011504 4512942 5157648 6017256 6669934 9025884 10004901 12034512 13339868 18051768 20009802 23344769 26679736 30014703 36103536 40019604 46689538 53359472 60029406 70034307 80039208 90044109 93379076 120058812 140068614 160078416 180088218 186758152 210102921 240117624 280137228 360176436 373516304 420205842 480235248 560274456 630308763 720352872 840411684 1120548912 1260617526 1440705744 1680823368 2521235052 3361646736 5042470104 10084940208 39816171013 79632342026 119448513039 159264684052 238897026078 278713197091 318529368104 358345539117 477794052156 557426394182 637058736208 716691078234 836139591273 955588104312 1075036617351 1114852788364 1433382156468 1672279182546 1911176208624 2150073234702 2229705576728 2508418773819 2866764312936 3344558365092 4300146469404 4459411153456 5016837547638 5733528625872 6689116730184 7525256321457 8600292938808 10033675095276 13378233460368 15050512642914 17200585877616 20067350190552 30101025285828 40134700381104 60202050571656 120404101143312