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12004361000 = 235352123041
BaseRepresentation
bin10110010111000010…
…00000001100101000
31010222121022201111222
423023201000030220
5144041104023000
65303103041212
7603323246012
oct131341001450
933877281458
1012004361000
115100170105
1223b02a0208
1311940307b8
1481c4351b2
154a3d32a85
hex2cb840328

12004361000 has 64 divisors (see below), whose sum is σ = 28145342160. Its totient is φ = 4792320000.

The previous prime is 12004360999. The next prime is 12004361009. The reversal of 12004361000 is 16340021.

It can be written as a sum of positive squares in 8 ways, for example, as 102860164 + 11901500836 = 10142^2 + 109094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12004361000.

It is not an unprimeable number, because it can be changed into a prime (12004361009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509480 + ... + 532520.

Almost surely, 212004361000 is an apocalyptic number.

12004361000 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 12004361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072671080).

12004361000 is an abundant number, since it is smaller than the sum of its proper divisors (16140981160).

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

12004361000 is a wasteful number, since it uses less digits than its factorization.

12004361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23583 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The spelling of 12004361000 in words is "twelve billion, four million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 521 1000 1042 2084 2605 4168 5210 10420 13025 20840 23041 26050 46082 52100 65125 92164 104200 115205 130250 184328 230410 260500 460820 521000 576025 921640 1152050 2304100 2880125 4608200 5760250 11520500 12004361 23041000 24008722 48017444 60021805 96034888 120043610 240087220 300109025 480174440 600218050 1200436100 1500545125 2400872200 3001090250 6002180500 12004361000