Search a number
-
+
12122101222120 = 2351960532635079
BaseRepresentation
bin1011000001100110010110…
…0010011000101011101000
31120220212021002001212011101
42300121211202120223220
53042102030403101440
641440452203011144
72360535653201641
oct260314542305350
946825232055141
1012122101222120
113953a5513222a
121439417209ab4
1369c156002146
142dc9da00c6c8
151604cc5d069a
hexb0665898ae8

12122101222120 has 64 divisors (see below), whose sum is σ = 28714993776000. Its totient is φ = 4592877712128.

The previous prime is 12122101222103. The next prime is 12122101222219. The reversal of 12122101222120 is 2122210122121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3282741 + ... + 5917819.

It is an arithmetic number, because the mean of its divisors is an integer number (448671777750).

Almost surely, 212122101222120 is an apocalyptic number.

12122101222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101222120 is an abundant number, since it is smaller than the sum of its proper divisors (16592892553880).

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

12122101222120 is a wasteful number, since it uses less digits than its factorization.

12122101222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641162 (or 2641158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12122101222120 its reverse (2122210122121), we get a palindrome (14244311344241).

The spelling of 12122101222120 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 6053 12106 24212 30265 48424 60530 115007 121060 230014 242120 460028 575035 920056 1150070 2300140 2635079 4600280 5270158 10540316 13175395 21080632 26350790 50066501 52701580 100133002 105403160 200266004 250332505 400532008 500665010 1001330020 2002660040 15950133187 31900266374 63800532748 79750665935 127601065496 159501331870 303052530553 319002663740 606105061106 638005327480 1212210122212 1515262652765 2424420244424 3030525305530 6061050611060 12122101222120