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12124014035424 = 253641631131219
BaseRepresentation
bin1011000001101101011110…
…0011001100000111100000
31120221001012101100211201120
42300123113203030013200
53042114440043113144
641441410053132240
72360634240636054
oct260332743140740
946831171324646
1012124014035424
11395484693a175
12143986b92a080
1369c39c3a0c35
142dcb3c08dc64
151605904bee19
hexb06d78cc1e0

12124014035424 has 96 divisors (see below), whose sum is σ = 31881258581760. Its totient is φ = 4034264678400.

The previous prime is 12124014035401. The next prime is 12124014035459. The reversal of 12124014035424 is 42453041042121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388338087 + ... + 388369305.

It is an arithmetic number, because the mean of its divisors is an integer number (332096443560).

Almost surely, 212124014035424 is an apocalyptic number.

It is an amenable number.

12124014035424 is an abundant number, since it is smaller than the sum of its proper divisors (19757244546336).

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

12124014035424 is a wasteful number, since it uses less digits than its factorization.

12124014035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38184 (or 38176 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 12124014035424 its reverse (42453041042121), we get a palindrome (54577055077545).

The spelling of 12124014035424 in words is "twelve trillion, one hundred twenty-four billion, fourteen million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 641 1282 1923 2564 3846 5128 6311 7692 10256 12622 15384 18933 20512 25244 30768 31219 37866 50488 61536 62438 75732 93657 100976 124876 151464 187314 201952 249752 302928 374628 499504 605856 749256 999008 1498512 2997024 4045351 8090702 12136053 16181404 20011379 24272106 32362808 40022758 48544212 60034137 64725616 80045516 97088424 120068274 129451232 160091032 194176848 197023109 240136548 320182064 388353696 394046218 480273096 591069327 640364128 788092436 960546192 1182138654 1576184872 1921092384 2364277308 3152369744 4728554616 6304739488 9457109232 18914218464 126291812869 252583625738 378875438607 505167251476 757750877214 1010334502952 1515501754428 2020669005904 3031003508856 4041338011808 6062007017712 12124014035424