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12003014122440 = 23351124683368399
BaseRepresentation
bin1010111010101010101101…
…1001001001101111001000
31120111110212200200101110220
42232222223121021233020
53033124133103404230
641310035241110040
72346121610434335
oct256525331115710
946443780611426
1012003014122440
1139084a4610690
12141a321188320
13690b57caa1a3
142d6d4001d98c
1515c35c853d10
hexaeaab649bc8

12003014122440 has 128 divisors (see below), whose sum is σ = 39284289792000. Its totient is φ = 2909695819520.

The previous prime is 12003014122291. The next prime is 12003014122457. The reversal of 12003014122440 is 4422141030021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12003014122440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32397361 + ... + 32765759.

It is an arithmetic number, because the mean of its divisors is an integer number (306908514000).

Almost surely, 212003014122440 is an apocalyptic number.

12003014122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003014122440 is an abundant number, since it is smaller than the sum of its proper divisors (27281275669560).

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

12003014122440 is a wasteful number, since it uses less digits than its factorization.

12003014122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393107 (or 393103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12003014122440 its reverse (4422141030021), we get a palindrome (16425155152461).

The spelling of 12003014122440 in words is "twelve trillion, three billion, fourteen million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 24683 49366 74049 98732 123415 148098 197464 246830 271513 296196 368399 370245 493660 543026 592392 736798 740490 814539 987320 1086052 1105197 1357565 1473596 1480980 1629078 1841995 2172104 2210394 2715130 2947192 2961960 3258156 3683990 4052389 4072695 4420788 5430260 5525985 6516312 7367980 8104778 8145390 8841576 10860520 11051970 12157167 14735960 16209556 16290780 20261945 22103940 24314334 32419112 32581560 40523890 44207880 48628668 60785835 81047780 97257336 121571670 162095560 243143340 486286680 9093192517 18186385034 27279577551 36372770068 45465962585 54559155102 72745540136 90931925170 100025117687 109118310204 136397887755 181863850340 200050235374 218236620408 272795775510 300075353061 363727700680 400100470748 500125588435 545591551020 600150706122 800200941496 1000251176870 1091183102040 1200301412244 1500376765305 2000502353740 2400602824488 3000753530610 4001004707480 6001507061220 12003014122440