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12002120196 = 22311219741959
BaseRepresentation
bin10110010110110000…
…11101001000000100
31010222110002212201020
423023120131020010
5144040020321241
65302543031140
7603265224033
oct131330351004
933873085636
1012002120196
1150a997a600
1223ab59b4b0
131193727891
1481c01071a
154a3a3db66
hex2cb61d204

12002120196 has 72 divisors (see below), whose sum is σ = 30939289920. Its totient is φ = 3618457920.

The previous prime is 12002120183. The next prime is 12002120213. The reversal of 12002120196 is 69102120021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265065 + ... + 307023.

It is an arithmetic number, because the mean of its divisors is an integer number (429712360).

Almost surely, 212002120196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002120196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469644960).

12002120196 is an abundant number, since it is smaller than the sum of its proper divisors (18937169724).

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

12002120196 is a wasteful number, since it uses less digits than its factorization.

12002120196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42185 (or 42172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12002120196 in words is "twelve billion, two million, one hundred twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 197 242 363 394 484 591 726 788 1182 1452 2167 2364 4334 6501 8668 13002 23837 26004 41959 47674 71511 83918 95348 125877 143022 167836 251754 286044 461549 503508 923098 1384647 1846196 2769294 5077039 5538588 8265923 10154078 15231117 16531846 20308156 24797769 30462234 33063692 49595538 60924468 90925153 99191076 181850306 272775459 363700612 545550918 1000176683 1091101836 2000353366 3000530049 4000706732 6001060098 12002120196