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12101233200 = 2435271440623
BaseRepresentation
bin10110100010100101…
…00010101000110000
31011020100121100012020
423101102202220300
5144240403430300
65320443231440
7605610533160
oct132122425060
934210540166
1012101233200
11514a915681
122418818580
1311ab11a724
1482b2505a0
154ac5ba8a0
hex2d14a2a30

12101233200 has 120 divisors (see below), whose sum is σ = 44302069248. Its totient is φ = 2765994240.

The previous prime is 12101233169. The next prime is 12101233201. The reversal of 12101233200 is 233210121.

It is a tau number, because it is divible by the number of its divisors (120).

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 12101233200.

It is not an unprimeable number, because it can be changed into a prime (12101233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711912 + ... + 728711.

Almost surely, 212101233200 is an apocalyptic number.

12101233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101233200 is an abundant number, since it is smaller than the sum of its proper divisors (32200836048).

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

12101233200 is a wasteful number, since it uses less digits than its factorization.

12101233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440651 (or 1440640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12101233200 its reverse (233210121), we get a palindrome (12334443321).

The spelling of 12101233200 in words is "twelve billion, one hundred one million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1440623 2881246 4321869 5762492 7203115 8643738 10084361 11524984 14406230 17287476 20168722 21609345 23049968 28812460 30253083 34574952 36015575 40337444 43218690 50421805 57624920 60506166 69149904 72031150 80674888 86437380 100843610 108046725 115249840 121012332 144062300 151265415 161349776 172874760 201687220 216093450 242024664 252109025 288124600 302530830 345749520 403374440 432186900 484049328 504218050 576249200 605061660 756327075 806748880 864373800 1008436100 1210123320 1512654150 1728747600 2016872200 2420246640 3025308300 4033744400 6050616600 12101233200