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12121203120 = 2435133885001
BaseRepresentation
bin10110100100111101…
…01110000110110000
31011021202011220202220
423102132232012300
5144311011444440
65322435241040
7606242345415
oct132236560660
934252156686
1012121203120
115160115344
122423449180
1311b22c0250
1482db6c10c
154ae2128d0
hex2d27ae1b0

12121203120 has 80 divisors (see below), whose sum is σ = 40466180832. Its totient is φ = 2983680000.

The previous prime is 12121203047. The next prime is 12121203161. The reversal of 12121203120 is 2130212121.

12121203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 12121203120.

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 15 ways as a sum of consecutive naturals, for example, 1939381 + ... + 1945620.

Almost surely, 212121203120 is an apocalyptic number.

12121203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121203120 is an abundant number, since it is smaller than the sum of its proper divisors (28344977712).

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

12121203120 is a wasteful number, since it uses less digits than its factorization.

12121203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885030 (or 3885024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12121203120 its reverse (2130212121), we get a palindrome (14251415241).

Subtracting from 12121203120 its reverse (2130212121), we obtain a palindrome (9990990999).

The spelling of 12121203120 in words is "twelve billion, one hundred twenty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3885001 7770002 11655003 15540004 19425005 23310006 31080008 38850010 46620012 50505013 58275015 62160016 77700020 93240024 101010026 116550030 151515039 155400040 186480048 202020052 233100060 252525065 303030078 310800080 404040104 466200120 505050130 606060156 757575195 808080208 932400240 1010100260 1212120312 1515150390 2020200520 2424240624 3030300780 4040401040 6060601560 12121203120