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12121323032112 = 2437672591207811
BaseRepresentation
bin1011000001100011011100…
…1001110100111000110000
31120220210020211202201011020
42300120313021310320300
53042043432144011422
641440243043415440
72360510453533260
oct260306711647060
946823224681136
1012121323032112
113953695938598
12143923a684580
1369c060a17498
142dc96491d7a0
1516048411595c
hexb0637274e30

12121323032112 has 160 divisors (see below), whose sum is σ = 36335086977024. Its totient is φ = 3410211974400.

The previous prime is 12121323032111. The next prime is 12121323032123. The reversal of 12121323032112 is 21123032312121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12121323032111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58224687 + ... + 58432497.

Almost surely, 212121323032112 is an apocalyptic number.

12121323032112 is a gapful number since it is divisible by the number (12) 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 12121323032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167543488512).

12121323032112 is an abundant number, since it is smaller than the sum of its proper divisors (24213763944912).

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

12121323032112 is a wasteful number, since it uses less digits than its factorization.

12121323032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210487 (or 210481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12121323032112 its reverse (21123032312121), we get a palindrome (33244355344233).

The spelling of 12121323032112 in words is "twelve trillion, one hundred twenty-one billion, three hundred twenty-three million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2591 2814 3216 3752 5182 5628 7504 7773 10364 11256 15546 18137 20728 22512 31092 36274 41456 54411 62184 72548 108822 124368 145096 173597 207811 217644 290192 347194 415622 435288 520791 623433 694388 831244 870576 1041582 1215179 1246866 1388776 1454677 1662488 2083164 2430358 2493732 2777552 2909354 3324976 3645537 4166328 4364031 4860716 4987464 5818708 7291074 8332656 8728062 9721432 9974928 11637416 13923337 14582148 17456124 19442864 23274832 27846674 29164296 34912248 41770011 55693348 58328592 69824496 83540022 97463359 111386696 167080044 194926718 222773392 292390077 334160088 389853436 538438301 584780154 668320176 779706872 1076876602 1169560308 1559413744 1615314903 2153753204 2339120616 3230629806 3769068107 4307506408 4678241232 6461259612 7538136214 8615012816 11307204321 12922519224 15076272428 22614408642 25845038448 30152544856 36075366167 45228817284 60305089712 72150732334 90457634568 108226098501 144301464668 180915269136 216452197002 252527563169 288602929336 432904394004 505055126338 577205858672 757582689507 865808788008 1010110252676 1515165379014 1731617576016 2020220505352 3030330758028 4040441010704 6060661516056 12121323032112