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12003012320 = 2551330718797
BaseRepresentation
bin10110010110110111…
…10110111011100000
31010222111210012110212
423023123312323200
5144040232343240
65303014113252
7603305631005
oct131333667340
933874705425
1012003012320
1150aa4298a2
1223ab94b828
13119397a970
1481c1a38ac
154a3b68165
hex2cb6f6ee0

12003012320 has 96 divisors (see below), whose sum is σ = 30639536928. Its totient is φ = 4417210368.

The previous prime is 12003012319. The next prime is 12003012331. The reversal of 12003012320 is 2321030021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12003012295 and 12003012304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629162 + ... + 647958.

It is an arithmetic number, because the mean of its divisors is an integer number (319161843).

Almost surely, 212003012320 is an apocalyptic number.

12003012320 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 12003012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319768464).

12003012320 is an abundant number, since it is smaller than the sum of its proper divisors (18636524608).

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

12003012320 is a wasteful number, since it uses less digits than its factorization.

12003012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19132 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12003012320 its reverse (2321030021), we get a palindrome (14324042341).

The spelling of 12003012320 in words is "twelve billion, three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 307 416 520 614 1040 1228 1535 2080 2456 3070 3991 4912 6140 7982 9824 12280 15964 18797 19955 24560 31928 37594 39910 49120 63856 75188 79820 93985 127712 150376 159640 187970 244361 300752 319280 375940 488722 601504 638560 751880 977444 1221805 1503760 1954888 2443610 3007520 3909776 4887220 5770679 7819552 9774440 11541358 19548880 23082716 28853395 39097760 46165432 57706790 75018827 92330864 115413580 150037654 184661728 230827160 300075308 375094135 461654320 600150616 750188270 923308640 1200301232 1500376540 2400602464 3000753080 6001506160 12003012320