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12104122231440 = 2432516811280877
BaseRepresentation
bin1011000000100011010111…
…1001111110101010010000
31120212010212002102111111200
42300020311321332222100
53041303220242401230
641424320150511200
72356331301251331
oct260106571765220
946763762374450
1012104122231440
11394736949a448
121435a3a065500
1369a54c249515
142dbbb22d0288
1515ecc8ec7160
hexb0235e7ea90

12104122231440 has 60 divisors (see below), whose sum is σ = 40649677163004. Its totient is φ = 3227765928192.

The previous prime is 12104122231429. The next prime is 12104122231463. The reversal of 12104122231440 is 4413222140121.

12104122231440 is a `hidden beast` number, since 1 + 2 + 10 + 412 + 2 + 231 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1656307224576 + 10447815006864 = 1286976^2 + 3232308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8405639719 + ... + 8405641158.

Almost surely, 212104122231440 is an apocalyptic number.

12104122231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104122231440 is an abundant number, since it is smaller than the sum of its proper divisors (28545554931564).

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

12104122231440 is a wasteful number, since it uses less digits than its factorization.

12104122231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811280896 (or 16811280887 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12104122231440 its reverse (4413222140121), we get a palindrome (16517344371561).

The spelling of 12104122231440 in words is "twelve trillion, one hundred four billion, one hundred twenty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16811280877 33622561754 50433842631 67245123508 84056404385 100867685262 134490247016 151301527893 168112808770 201735370524 252169213155 268980494032 302603055786 336225617540 403470741048 504338426310 605206111572 672451235080 756507639465 806941482096 1008676852620 1210412223144 1344902470160 1513015278930 2017353705240 2420824446288 3026030557860 4034707410480 6052061115720 12104122231440