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12414233122120 = 235347894397199
BaseRepresentation
bin1011010010100110100111…
…1101001001010101001000
31121221210022020202222210101
42310221221331021111020
53111343322134401440
642223004151255144
72420620161320254
oct264515175112510
947853266688711
1012414233122120
113a56934a60545
121485b6567a4b4
136c0870a2017b
1430cbd01bd264
15167dc914a69a
hexb4a69f49548

12414233122120 has 32 divisors (see below), whose sum is σ = 28012520304000. Its totient is φ = 4951382888128.

The previous prime is 12414233122099. The next prime is 12414233122121. The reversal of 12414233122120 is 2122133241421.

It is a super-2 number, since 2×124142331221202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12414233122121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447184720 + ... + 447212479.

It is an arithmetic number, because the mean of its divisors is an integer number (875391259500).

Almost surely, 212414233122120 is an apocalyptic number.

12414233122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414233122120 is an abundant number, since it is smaller than the sum of its proper divisors (15598287181880).

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

12414233122120 is a wasteful number, since it uses less digits than its factorization.

12414233122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894397557 (or 894397553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12414233122120 its reverse (2122133241421), we get a palindrome (14536366363541).

The spelling of 12414233122120 in words is "twelve trillion, four hundred fourteen billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 347 694 1388 1735 2776 3470 6940 13880 894397199 1788794398 3577588796 4471985995 7155177592 8943971990 17887943980 35775887960 310355828053 620711656106 1241423312212 1551779140265 2482846624424 3103558280530 6207116561060 12414233122120