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12420121321144 = 23174311103192103
BaseRepresentation
bin1011010010111100100011…
…1010110101111010111000
31121222100111121110111100201
42310233020322311322320
53111442402024234034
642225420332011544
72421216120223255
oct264571072657270
947870447414321
1012420121321144
113a5938676a629
121487129600bb4
136c129b8a2bc4
1430d1cc20842c
1516812104c014
hexb4bc8eb5eb8

12420121321144 has 64 divisors (see below), whose sum is σ = 24737339658240. Its totient is φ = 5825885038080.

The previous prime is 12420121321133. The next prime is 12420121321147. The reversal of 12420121321144 is 44112312102421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420121321147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64557397 + ... + 64749499.

It is an arithmetic number, because the mean of its divisors is an integer number (386520932160).

Almost surely, 212420121321144 is an apocalyptic number.

It is an amenable number.

12420121321144 is a deficient number, since it is larger than the sum of its proper divisors (12317218337096).

12420121321144 is a wasteful number, since it uses less digits than its factorization.

12420121321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193660 (or 193656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 12420121321144 its reverse (44112312102421), we get a palindrome (56532433423565).

The spelling of 12420121321144 in words is "twelve trillion, four hundred twenty billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 431 862 1103 1724 2206 3448 4412 7327 8824 14654 18751 29308 37502 58616 75004 150008 192103 384206 475393 768412 950786 1536824 1901572 3265751 3803144 6531502 8081681 13063004 16163362 26126008 32326724 64653448 82796393 165592786 211889609 331185572 423779218 662371144 847558436 1407538681 1695116872 2815077362 3602123353 5630154724 7204246706 11260309448 14408493412 28816986824 91324421479 182648842958 365297685916 730595371832 1552515165143 3105030330286 6210060660572 12420121321144