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20121002200120 = 2357332377328867
BaseRepresentation
bin1001001001100110010010…
…01100000100110000111000
32122020112211020110011021011
410210303021030010300320
510114130303030400440
6110443243311123304
74144460122530343
oct444631114046070
978215736404234
1020121002200120
1164582a6208a18
12230b702b13534
13b2c52ccc8813
144d7c0c72545a
1524d5d7d049ea
hex124cc9304c38

20121002200120 has 64 divisors (see below), whose sum is σ = 45337495381920. Its totient is φ = 8036804289024.

The previous prime is 20121002200109. The next prime is 20121002200213. The reversal of 20121002200120 is 2100220012102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20121002200120.

It is a congruent number.

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, 697009927 + ... + 697038793.

Almost surely, 220121002200120 is an apocalyptic number.

20121002200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121002200120 is an abundant number, since it is smaller than the sum of its proper divisors (25216493181800).

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

20121002200120 is a wasteful number, since it uses less digits than its factorization.

20121002200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53384 (or 53380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121002200120 its reverse (2100220012102), we get a palindrome (22221222212222).

The spelling of 20121002200120 in words is "twenty trillion, one hundred twenty-one billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 733 1466 2932 3665 5864 7330 14660 23773 28867 29320 47546 57734 95092 115468 118865 144335 190184 230936 237730 288670 475460 577340 950920 1154680 17425609 21159511 34851218 42319022 69702436 84638044 87128045 105797555 139404872 169276088 174256090 211595110 348512180 423190220 686255191 697024360 846380440 1372510382 2745020764 3431275955 5490041528 6862551910 13725103820 27450207640 503025055003 1006050110006 2012100220012 2515125275015 4024200440024 5030250550030 10060501100060 20121002200120