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12200121331 = 1929312293119
BaseRepresentation
bin10110101110010111…
…10001001111110011
31011111020200101012121
423113023301033303
5144441212340311
65334334535111
7611221214566
oct132713611763
934436611177
1012200121331
1151a0717802
122445967497
1311c5762108
1483a4324dd
154b6100b71
hex2d72f13f3

12200121331 has 32 divisors (see below), whose sum is σ = 13777920000. Its totient is φ = 10748868480.

The previous prime is 12200121319. The next prime is 12200121343. The reversal of 12200121331 is 13312100221.

It is an interprime number because it is at equal distance from previous prime (12200121319) and next prime (12200121343).

It is not a de Polignac number, because 12200121331 - 217 = 12199990259 is a prime.

It is a super-2 number, since 2×122001213312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200121361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3909990 + ... + 3913108.

It is an arithmetic number, because the mean of its divisors is an integer number (430560000).

Almost surely, 212200121331 is an apocalyptic number.

12200121331 is a deficient number, since it is larger than the sum of its proper divisors (1577798669).

12200121331 is a wasteful number, since it uses less digits than its factorization.

12200121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12200121331 its reverse (13312100221), we get a palindrome (25512221552).

The spelling of 12200121331 in words is "twelve billion, two hundred million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 19 29 31 229 551 589 899 3119 4351 6641 7099 17081 59261 90451 96689 126179 134881 205871 714251 1718569 1837091 2803981 3911549 13570769 20713279 22141781 53275639 393552301 420693839 642111649 12200121331