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12120212000220 = 22352339722122827
BaseRepresentation
bin1011000001011111010011…
…1011100100110111011100
31120220200101102011102220220
42300113310323210313130
53042034143233001340
641435540514241340
72360441103112242
oct260276473446734
946820342142826
1012120212000220
113953175778915
121438b8a586250
1369bc147a336c
142dc89b14c792
1516041b800ed0
hexb05f4ee4ddc

12120212000220 has 96 divisors (see below), whose sum is σ = 35501298513408. Its totient is φ = 3083744961792.

The previous prime is 12120212000177. The next prime is 12120212000249. The reversal of 12120212000220 is 2200021202121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120212000220.

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, 10513554 + ... + 11609273.

It is an arithmetic number, because the mean of its divisors is an integer number (369805192848).

Almost surely, 212120212000220 is an apocalyptic number.

12120212000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120212000220 is an abundant number, since it is smaller than the sum of its proper divisors (23381086513188).

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

12120212000220 is a wasteful number, since it uses less digits than its factorization.

12120212000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22123259 (or 22123257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12120212000220 its reverse (2200021202121), we get a palindrome (14320233202341).

The spelling of 12120212000220 in words is "twelve trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 397 460 690 794 1191 1380 1588 1985 2382 3970 4764 5955 7940 9131 11910 18262 23820 27393 36524 45655 54786 91310 109572 136965 182620 273930 547860 22122827 44245654 66368481 88491308 110614135 132736962 221228270 265473924 331842405 442456540 508825021 663684810 1017650042 1327369620 1526475063 2035300084 2544125105 3052950126 5088250210 6105900252 7632375315 8782762319 10176500420 15264750630 17565524638 26348286957 30529501260 35131049276 43913811595 52696573914 87827623190 105393147828 131741434785 175655246380 202003533337 263482869570 404007066674 526965739140 606010600011 808014133348 1010017666685 1212021200022 2020035333370 2424042400044 3030053000055 4040070666740 6060106000110 12120212000220