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121110101221120 = 2851141879205391
BaseRepresentation
bin11011100010011000100100…
…100011111101111100000000
3120212211000100012002000001221
4123202120210203331330000
5111333231441403033440
61105325113514404424
734336626131653024
oct3342304443757400
9525730305060057
10121110101221120
1135653561895130
12116bbb47a30714
135276830b7295b
1421c9a8dcc8384
15e00541d0ad4a
hex6e26248fdf00

121110101221120 has 144 divisors (see below), whose sum is σ = 316478049592320. Its totient is φ = 44038770790400.

The previous prime is 121110101221103. The next prime is 121110101221211. The reversal of 121110101221120 is 21122101011121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121110101221094 and 121110101221103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589553625 + ... + 589759015.

It is an arithmetic number, because the mean of its divisors is an integer number (2197764233280).

Almost surely, 2121110101221120 is an apocalyptic number.

121110101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110101221120 is an abundant number, since it is smaller than the sum of its proper divisors (195367948371200).

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

121110101221120 is a wasteful number, since it uses less digits than its factorization.

121110101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247302 (or 247288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121110101221120 its reverse (21122101011121), we get a palindrome (142232202232241).

The spelling of 121110101221120 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 41879 83758 167516 205391 209395 335032 410782 418790 460669 670064 821564 837580 921338 1026955 1340128 1643128 1675160 1842676 2053910 2259301 2303345 2680256 3286256 3350320 3685352 4107820 4518602 4606690 5360512 6572512 6700640 7370704 8215640 9037204 9213380 10721024 11296505 13145024 13401280 14741408 16431280 18074408 18426760 22593010 26290048 26802560 29482816 32862560 36148816 36853520 45186020 52580096 53605120 58965632 65725120 72297632 73707040 90372040 117931264 131450240 144595264 147414080 180744080 262900480 289190528 294828160 361488160 578381056 589656320 722976320 1445952640 2891905280 8601569689 17203139378 34406278756 43007848445 68812557512 86015696890 94617266579 137625115024 172031393780 189234533158 275250230048 344062787560 378469066316 473086332895 550500460096 688125575120 756938132632 946172665790 1101000920192 1376251150240 1513876265264 1892345331580 2202001840384 2752502300480 3027752530528 3784690663160 5505004600960 6055505061056 7569381326320 11010009201920 12111010122112 15138762652640 24222020244224 30277525305280 60555050610560 121110101221120