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12122130203200 = 265219398754283
BaseRepresentation
bin1011000001100110011101…
…0000111100001001000000
31120220212100002121020201201
42300121213100330021000
53042102110313000300
641440455120110544
72360536454424613
oct260314720741100
946825302536651
1012122130203200
113953a6a527136
121439424a65454
1369c15c00b404
142dc9ddbd417a
151604cee0766a
hexb066743c240

12122130203200 has 84 divisors (see below), whose sum is σ = 31397912322160. Its totient is φ = 4593649328640.

The previous prime is 12122130203189. The next prime is 12122130203201. The reversal of 12122130203200 is 230203122121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12122130203201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 199346742 + ... + 199407541.

Almost surely, 212122130203200 is an apocalyptic number.

12122130203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122130203200 is an abundant number, since it is smaller than the sum of its proper divisors (19275782118960).

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

12122130203200 is a wasteful number, since it uses less digits than its factorization.

12122130203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398754324 (or 398754309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12122130203200 its reverse (230203122121), we get a palindrome (12352333325321).

The spelling of 12122130203200 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirty million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 398754283 797508566 1595017132 1993771415 3190034264 3987542830 6380068528 7576331377 7975085660 9968857075 12760137056 15152662754 15950171320 19937714150 25520274112 30305325508 31900342640 37881656885 39875428300 60610651016 63800685280 75763313770 79750856600 121221302032 127601370560 151526627540 159501713200 189408284425 242442604064 303053255080 319003426400 378816568850 484885208128 606106510160 638006852800 757633137700 1212213020320 1515266275400 2424426040640 3030532550800 6061065101600 12122130203200