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12074324000 = 255329104089
BaseRepresentation
bin10110011111010111…
…11001000000100000
31011011110222012201012
423033223321000200
5144212011332000
65314042400052
7605133026534
oct131753710040
934143865635
1012074324000
115136706372
12240b800028
1311a568851b
14827847bc4
154aa052735
hex2cfaf9020

12074324000 has 96 divisors (see below), whose sum is σ = 30689895600. Its totient is φ = 4663142400.

The previous prime is 12074323993. The next prime is 12074324077. The reversal of 12074324000 is 42347021.

It can be written as a sum of positive squares in 8 ways, for example, as 1811013136 + 10263310864 = 42556^2 + 101308^2 .

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, 63956 + ... + 168044.

Almost surely, 212074324000 is an apocalyptic number.

12074324000 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 12074324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344947800).

12074324000 is an abundant number, since it is smaller than the sum of its proper divisors (18615571600).

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

12074324000 is a wasteful number, since it uses less digits than its factorization.

12074324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104143 (or 104125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The spelling of 12074324000 in words is "twelve billion, seventy-four million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 104089 116000 208178 416356 520445 832712 1040890 1665424 2081780 2602225 3018581 3330848 4163560 5204450 6037162 8327120 10408900 12074324 13011125 15092905 16654240 20817800 24148648 26022250 30185810 41635600 48297296 52044500 60371620 75464525 83271200 96594592 104089000 120743240 150929050 208178000 241486480 301858100 377322625 416356000 482972960 603716200 754645250 1207432400 1509290500 2414864800 3018581000 6037162000 12074324000