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12114420203832 = 2332813718148313
BaseRepresentation
bin1011000001001001101110…
…1101101000000100111000
31120220010102202212200220120
42300102123231220010320
53041440313033010312
641433142100053240
72360144424466422
oct260223355500470
946803382780816
1012114420203832
113950773423531
121437a32994220
1369b5008a48cb
142dc4abc59812
151601cd0e328c
hexb049bb68138

12114420203832 has 64 divisors (see below), whose sum is σ = 30395276624160. Its totient is φ = 4023577958400.

The previous prime is 12114420203827. The next prime is 12114420203843. The reversal of 12114420203832 is 23830202441121.

It is a happy number.

It is a super-3 number, since 3×121144202038323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114420203793 and 12114420203802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250724508 + ... + 250772820.

Almost surely, 212114420203832 is an apocalyptic number.

12114420203832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12114420203832 is an abundant number, since it is smaller than the sum of its proper divisors (18280856420328).

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

12114420203832 is a wasteful number, since it uses less digits than its factorization.

12114420203832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85784 (or 85780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 12114420203832 its reverse (23830202441121), we get a palindrome (35944622644953).

The spelling of 12114420203832 in words is "twelve trillion, one hundred fourteen billion, four hundred twenty million, two hundred three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 281 562 843 1124 1686 2248 3372 6744 37181 48313 74362 96626 111543 144939 148724 193252 223086 289878 297448 386504 446172 579756 892344 1159512 10447861 13575953 20895722 27151906 31343583 40727859 41791444 54303812 62687166 81455718 83582888 108607624 125374332 162911436 250748664 325822872 1796325653 3592651306 5388976959 7185302612 10777953918 14370605224 21555907836 43111815672 504767508493 1009535016986 1514302525479 2019070033972 3028605050958 4038140067944 6057210101916 12114420203832