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12122131301000 = 235372375292741
BaseRepresentation
bin1011000001100110011101…
…0101001000001010001000
31120220212100011200000121222
42300121213111020022020
53042102111103113000
641440455155421212
72360536466646320
oct260314725101210
946825304600558
1012122131301000
113953a70106a06
1214394252b4808
1369c15c303cb6
142dc9ddddc280
151604d0072a85
hexb0667548288

12122131301000 has 128 divisors (see below), whose sum is σ = 33827523125760. Its totient is φ = 3975456672000.

The previous prime is 12122131300999. The next prime is 12122131301029. The reversal of 12122131301000 is 10313122121.

It is a self number, because there is not a number n which added to its sum of digits gives 12122131301000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37485371 + ... + 37807370.

It is an arithmetic number, because the mean of its divisors is an integer number (264277524420).

Almost surely, 212122131301000 is an apocalyptic number.

12122131301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122131301000 is an abundant number, since it is smaller than the sum of its proper divisors (21705391824760).

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

12122131301000 is a wasteful number, since it uses less digits than its factorization.

12122131301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75292792 (or 75292778 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12122131301000 its reverse (10313122121), we get a palindrome (12132444423121).

The spelling of 12122131301000 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirty-one million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 161000 75292741 150585482 301170964 376463705 527049187 602341928 752927410 1054098374 1505854820 1731733043 1882318525 2108196748 2635245935 3011709640 3463466086 3764637050 4216393496 5270491870 6926932172 7529274100 8658665215 9411592625 10540983740 12122131301 13176229675 13853864344 15058548200 17317330430 18823185250 21081967480 24244262602 26352459350 34634660860 37646370500 43293326075 48488525204 52704918700 60610656505 65881148375 69269321720 75292741000 86586652150 96977050408 105409837400 121221313010 131762296750 173173304300 216466630375 242442626020 263524593500 303053282525 346346608600 432933260750 484885252040 527049187000 606106565050 865866521500 1212213130100 1515266412625 1731733043000 2424426260200 3030532825250 6061065650500 12122131301000