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12002452440 = 23351115160217
BaseRepresentation
bin10110010110110011…
…01110001111011000
31010222110201202110120
423023121232033120
5144040111434230
65302554113240
7603301106466
oct131331561730
933873652416
1012002452440
1150aa087190
1223ab71b820
131193812b84
1481c099836
154a3aa7310
hex2cb66e3d8

12002452440 has 128 divisors (see below), whose sum is σ = 39541547520. Its totient is φ = 2890368000.

The previous prime is 12002452439. The next prime is 12002452477. The reversal of 12002452440 is 4425420021.

It is a happy number.

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 12002452440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169212 + ... + 229428.

It is an arithmetic number, because the mean of its divisors is an integer number (308918340).

Almost surely, 212002452440 is an apocalyptic number.

12002452440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770773760).

12002452440 is an abundant number, since it is smaller than the sum of its proper divisors (27539095080).

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

12002452440 is a wasteful number, since it uses less digits than its factorization.

12002452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60393 (or 60389 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12002452440 its reverse (4425420021), we get a palindrome (16427872461).

The spelling of 12002452440 in words is "twelve billion, two million, four hundred fifty-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 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6644 8305 9060 9966 13288 16610 18120 19932 24915 33220 39864 49830 60217 66440 99660 120434 180651 199320 240868 301085 361302 481736 602170 662387 722604 903255 1204340 1324774 1445208 1806510 1987161 2408680 2649548 3311935 3613020 3974322 5299096 6623870 7226040 7948644 9092767 9935805 13247740 15897288 18185534 19871610 26495480 27278301 36371068 39743220 45463835 54556602 72742136 79486440 90927670 100020437 109113204 136391505 181855340 200040874 218226408 272783010 300061311 363710680 400081748 500102185 545566020 600122622 800163496 1000204370 1091132040 1200245244 1500306555 2000408740 2400490488 3000613110 4000817480 6001226220 12002452440