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12190299200 = 265273104369
BaseRepresentation
bin10110101101001100…
…10011010001000000
31011110120012100202222
423112212103101000
5144431204033300
65333344230212
7611041555622
oct132646232100
934416170688
1012190299200
115196119242
12244260b368
1311c37034c1
14838dd6c12
154b5310785
hex2d6993440

12190299200 has 84 divisors (see below), whose sum is σ = 30406947060. Its totient is φ = 4809277440.

The previous prime is 12190299169. The next prime is 12190299223. The reversal of 12190299200 is 299209121.

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 12175798336 = 3808^2 + 110344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64616 + ... + 168984.

It is an arithmetic number, because the mean of its divisors is an integer number (361987465).

Almost surely, 212190299200 is an apocalyptic number.

12190299200 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 12190299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203473530).

12190299200 is an abundant number, since it is smaller than the sum of its proper divisors (18216647860).

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

12190299200 is a wasteful number, since it uses less digits than its factorization.

12190299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104464 (or 104449 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The spelling of 12190299200 in words is "twelve billion, one hundred ninety million, two hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 146 160 200 292 320 365 400 584 730 800 1168 1460 1600 1825 2336 2920 3650 4672 5840 7300 11680 14600 23360 29200 58400 104369 116800 208738 417476 521845 834952 1043690 1669904 2087380 2609225 3339808 4174760 5218450 6679616 7618937 8349520 10436900 15237874 16699040 20873800 30475748 33398080 38094685 41747600 60951496 76189370 83495200 121902992 152378740 166990400 190473425 243805984 304757480 380946850 487611968 609514960 761893700 1219029920 1523787400 2438059840 3047574800 6095149600 12190299200