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12332013000 = 233534395597
BaseRepresentation
bin10110111110000101…
…11001010111001000
31011211102212011120020
423133002321113020
5200223443404000
65355405500440
7614412244446
oct133702712710
934742764506
1012332013000
11525911098a
122481b71720
131216b90918
1484db65b96
154c29a4ba0
hex2df0b95c8

12332013000 has 128 divisors (see below), whose sum is σ = 39371080320. Its totient is φ = 3212025600.

The previous prime is 12332012977. The next prime is 12332013011. The reversal of 12332013000 is 31023321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81202 + ... + 176798.

It is an arithmetic number, because the mean of its divisors is an integer number (307586565).

Almost surely, 212332013000 is an apocalyptic number.

12332013000 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 12332013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685540160).

12332013000 is an abundant number, since it is smaller than the sum of its proper divisors (27039067320).

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

12332013000 is a wasteful number, since it uses less digits than its factorization.

12332013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95664 (or 95650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12332013000 its reverse (31023321), we get a palindrome (12363036321).

The spelling of 12332013000 in words is "twelve billion, three hundred thirty-two million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 95597 129000 191194 286791 382388 477985 573582 764776 955970 1147164 1433955 1911940 2294328 2389925 2867910 3823880 4110671 4779850 5735820 7169775 8221342 9559700 11471640 11949625 12332013 14339550 16442684 19119400 20553355 23899250 24664026 28679100 32885368 35848875 41106710 47798500 49328052 57358200 61660065 71697750 82213420 95597000 98656104 102766775 123320130 143395500 164426840 205533550 246640260 286791000 308300325 411067100 493280520 513833875 616600650 822134200 1027667750 1233201300 1541501625 2055335500 2466402600 3083003250 4110671000 6166006500 12332013000