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12099973104 = 243511327541
BaseRepresentation
bin10110100010011011…
…01110111111110000
31011020021020022200000
423101031232333300
5144240043114404
65320400230000
7605564034342
oct132115567760
934207208600
1012099973104
11514a13497a
12241830b300
1311aaa98ccb
1482b003292
154ac41c339
hex2d136eff0

12099973104 has 120 divisors (see below), whose sum is σ = 35429367792. Its totient is φ = 3997486080.

The previous prime is 12099973099. The next prime is 12099973141. The reversal of 12099973104 is 40137999021.

It is a self number, because there is not a number n which added to its sum of digits gives 12099973104.

It is a congruent number.

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, 425574 + ... + 453114.

Almost surely, 212099973104 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 12099973104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714683896).

12099973104 is an abundant number, since it is smaller than the sum of its proper divisors (23329394688).

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

12099973104 is a wasteful number, since it uses less digits than its factorization.

12099973104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27677 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12099973104 in words is "twelve billion, ninety-nine million, nine hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 904 972 1017 1296 1356 1808 1944 2034 2712 3051 3888 4068 5424 6102 8136 9153 12204 16272 18306 24408 27459 27541 36612 48816 54918 55082 73224 82623 109836 110164 146448 165246 219672 220328 247869 330492 439344 440656 495738 660984 743607 991476 1321968 1487214 1982952 2230821 2974428 3112133 3965904 4461642 5948856 6224266 6692463 8923284 9336399 11897712 12448532 13384926 17846568 18672798 24897064 26769852 28009197 35693136 37345596 49794128 53539704 56018394 74691192 84027591 107079408 112036788 149382384 168055182 224073576 252082773 336110364 448147152 504165546 672220728 756248319 1008331092 1344441456 1512496638 2016662184 3024993276 4033324368 6049986552 12099973104