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12045421200 = 2435297103483
BaseRepresentation
bin10110011011111011…
…01000101010010000
31011002110120210112010
423031331220222100
5144132111434300
65311131102520
7604332251031
oct131575505220
934073523463
1012045421200
11512136525a
122401ba1a40
13119c6a8a87
14823a82a88
154a7743a50
hex2cdf68a90

12045421200 has 120 divisors (see below), whose sum is σ = 38983664608. Its totient is φ = 3178967040.

The previous prime is 12045421183. The next prime is 12045421229. The reversal of 12045421200 is 212454021.

12045421200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64659 + ... + 168141.

Almost surely, 212045421200 is an apocalyptic number.

12045421200 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 12045421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491832304).

12045421200 is an abundant number, since it is smaller than the sum of its proper divisors (26938243408).

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

12045421200 is a wasteful number, since it uses less digits than its factorization.

12045421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103601 (or 103590 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12045421200 its reverse (212454021), we get a palindrome (12257875221).

The spelling of 12045421200 in words is "twelve billion, forty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 150 194 200 240 291 300 388 400 485 582 600 776 970 1164 1200 1455 1552 1940 2328 2425 2910 3880 4656 4850 5820 7275 7760 9700 11640 14550 19400 23280 29100 38800 58200 103483 116400 206966 310449 413932 517415 620898 827864 1034830 1241796 1552245 1655728 2069660 2483592 2587075 3104490 4139320 4967184 5174150 6208980 7761225 8278640 10037851 10348300 12417960 15522450 20075702 20696600 24835920 30113553 31044900 40151404 41393200 50189255 60227106 62089800 80302808 100378510 120454212 124179600 150567765 160605616 200757020 240908424 250946275 301135530 401514040 481816848 501892550 602271060 752838825 803028080 1003785100 1204542120 1505677650 2007570200 2409084240 3011355300 4015140400 6022710600 12045421200