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12122095146 = 237472130657
BaseRepresentation
bin10110100101000100…
…00111111000101010
31011021210212020101220
423102202013320222
5144311224021041
65322510322510
7606253052160
oct132242077052
934253766356
1012122095146
115160674557
1224237b9436
1311b2543285
1482dd21230
154ae33bd66
hex2d2887e2a

12122095146 has 48 divisors (see below), whose sum is σ = 28309930176. Its totient is φ = 3389739264.

The previous prime is 12122095121. The next prime is 12122095169. The reversal of 12122095146 is 64159022121.

It is a super-2 number, since 2×121220951462 (a number of 21 digits) contains 22 as substring.

It is a Curzon 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, 27450 + ... + 158106.

It is an arithmetic number, because the mean of its divisors is an integer number (589790212).

Almost surely, 212122095146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122095146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154965088).

12122095146 is an abundant number, since it is smaller than the sum of its proper divisors (16187835030).

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

12122095146 is a wasteful number, since it uses less digits than its factorization.

12122095146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130763 (or 130716 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12122095146 in words is "twelve billion, one hundred twenty-two million, ninety-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 2209 4418 6627 13254 15463 30926 46389 92778 130657 261314 391971 783942 914599 1829198 2743797 5487594 6140879 12281758 18422637 36845274 42986153 85972306 128958459 257916918 288621313 577242626 865863939 1731727878 2020349191 4040698382 6061047573 12122095146