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12422107324000 = 255311225665511
BaseRepresentation
bin1011010011000011111101…
…0010110101111001100000
31121222112122000110220010001
42310300333102311321200
53112010433433332000
642230345354545344
72421316254040123
oct264607722657140
947875560426101
1012422107324000
113a5a205816a00
1214875a2738254
136c152718921a
1430d339c9c3ba
151681da59746a
hexb4c3f4b5e60

12422107324000 has 144 divisors (see below), whose sum is σ = 33548006707488. Its totient is φ = 4517129760000.

The previous prime is 12422107323961. The next prime is 12422107324001. The reversal of 12422107324000 is 42370122421.

It is a self number, because there is not a number n which added to its sum of digits gives 12422107324000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422107324001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12348756 + ... + 13316755.

It is an arithmetic number, because the mean of its divisors is an integer number (232972268802).

Almost surely, 212422107324000 is an apocalyptic number.

12422107324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422107324000 is an abundant number, since it is smaller than the sum of its proper divisors (21125899383488).

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

12422107324000 is a wasteful number, since it uses less digits than its factorization.

12422107324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665558 (or 25665529 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 12422107324000 its reverse (42370122421), we get a palindrome (12464477446421).

The spelling of 12422107324000 in words is "twelve trillion, four hundred twenty-two billion, one hundred seven million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 96800 121000 242000 484000 25665511 51331022 102662044 128327555 205324088 256655110 282320621 410648176 513310220 564641242 641637775 821296352 1026620440 1129282484 1283275550 1411603105 2053240880 2258564968 2566551100 2823206210 3105526831 3208188875 4106481760 4517129936 5133102200 5646412420 6211053662 6416377750 7058015525 9034259872 10266204400 11292824840 12422107324 12832755500 14116031050 15527634155 20532408800 22585649680 24844214648 25665511000 28232062100 31055268310 35290077625 45171299360 49688429296 51331022000 56464124200 62110536620 70580155250 77638170775 99376858592 102662044000 112928248400 124221073240 141160310500 155276341550 225856496800 248442146480 282320621000 310552683100 388190853875 496884292960 564641242000 621105366200 776381707750 1129282484000 1242210732400 1552763415500 2484421464800 3105526831000 6211053662000 12422107324000