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12124038107456 = 261143400503373
BaseRepresentation
bin1011000001101101100011…
…1111000001000101000000
31120221001021001122211100022
42300123120333001011000
53042120012223414311
641441412313113012
72360634652354652
oct260333077010500
946831231584308
1012124038107456
113954859490910
1214398779b8768
1369c3a437b942
142dcb413586d2
151605926775db
hexb06d8fc1140

12124038107456 has 56 divisors (see below), whose sum is σ = 26856154246944. Its totient is φ = 5382765319680.

The previous prime is 12124038107431. The next prime is 12124038107521. The reversal of 12124038107456 is 65470183042121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200221415 + ... + 200281958.

Almost surely, 212124038107456 is an apocalyptic number.

12124038107456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12124038107456 is an abundant number, since it is smaller than the sum of its proper divisors (14732116139488).

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

12124038107456 is a wasteful number, since it uses less digits than its factorization.

12124038107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400503439 (or 400503429 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 12124038107456 in words is "twelve trillion, one hundred twenty-four billion, thirty-eight million, one hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 15136 30272 400503373 801006746 1602013492 3204026984 4405537103 6408053968 8811074206 12816107936 17221645039 17622148412 25632215872 34443290078 35244296824 68886580156 70488593648 137773160312 140977187296 189438095429 275546320624 281954374592 378876190858 551092641248 757752381716 1102185282496 1515504763432 3031009526864 6062019053728 12124038107456