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121220122001120 = 25535321089101771
BaseRepresentation
bin11011100011111111000010…
…010011111011111011100000
3120220012112022201120201020122
4123203333002103323323200
5111342032302213013440
61105451431045455412
734350602425111412
oct3343770223737340
9526175281521218
10121220122001120
113569618a73859a
1211719331711568
135284015766ccc
1421d1129b5a9b2
15e03330b5a7b5
hex6e3fc24fbee0

121220122001120 has 96 divisors (see below), whose sum is σ = 287210260481760. Its totient is φ = 48347921121280.

The previous prime is 121220122001117. The next prime is 121220122001129. The reversal of 121220122001120 is 21100221022121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220122001129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191055835 + ... + 1191157605.

It is an arithmetic number, because the mean of its divisors is an integer number (2991773546685).

Almost surely, 2121220122001120 is an apocalyptic number.

121220122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220122001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143605130240880).

121220122001120 is an abundant number, since it is smaller than the sum of its proper divisors (165990138480640).

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

121220122001120 is a wasteful number, since it uses less digits than its factorization.

121220122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123228 (or 123220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121220122001120 its reverse (21100221022121), we get a palindrome (142320343023241).

The spelling of 121220122001120 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 353 706 1412 1765 2824 3530 5648 7060 11296 14120 21089 28240 42178 56480 84356 101771 105445 168712 203542 210890 337424 407084 421780 508855 674848 814168 843560 1017710 1628336 1687120 2035420 3256672 3374240 4070840 7444417 8141680 14888834 16283360 29777668 35925163 37222085 59555336 71850326 74444170 119110672 143700652 148888340 179625815 238221344 287401304 297776680 359251630 574802608 595553360 718503260 1149605216 1191106720 1437006520 2146248619 2874013040 4292497238 5748026080 8584994476 10731243095 17169988952 21462486190 34339977904 42924972380 68679955808 85849944760 171699889520 343399779040 757625762507 1515251525014 3030503050028 3788128812535 6061006100056 7576257625070 12122012200112 15152515250140 24244024400224 30305030500280 60610061000560 121220122001120