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12072364300 = 2252714913463
BaseRepresentation
bin10110011111001000…
…11010100100001100
31011011100021122111201
423033210122210030
5144211011124200
65313532355244
7605110255243
oct131744324414
934140248451
1012072364300
115135597a87
12240b015b24
1311a5150539
1482749795a
154a9cb6c6a
hex2cf91a90c

12072364300 has 72 divisors (see below), whose sum is σ = 26627795712. Its totient is φ = 4749864000.

The previous prime is 12072364279. The next prime is 12072364303. The reversal of 12072364300 is 346327021.

It is not an unprimeable number, because it can be changed into a prime (12072364303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3484369 + ... + 3487831.

It is an arithmetic number, because the mean of its divisors is an integer number (369830496).

Almost surely, 212072364300 is an apocalyptic number.

12072364300 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 12072364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313897856).

12072364300 is an abundant number, since it is smaller than the sum of its proper divisors (14555431412).

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

12072364300 is a wasteful number, since it uses less digits than its factorization.

12072364300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 12072364300 in words is "twelve billion, seventy-two million, three hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 491 710 982 1420 1775 1964 2455 3463 3550 4910 6926 7100 9820 12275 13852 17315 24550 34630 34861 49100 69260 69722 86575 139444 173150 174305 245873 346300 348610 491746 697220 871525 983492 1229365 1700333 1743050 2458730 3400666 3486100 4917460 6146825 6801332 8501665 12293650 17003330 24587300 34006660 42508325 85016650 120723643 170033300 241447286 482894572 603618215 1207236430 2414472860 3018091075 6036182150 12072364300