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12120020160 = 263517372977
BaseRepresentation
bin10110100100110100…
…01101010011000000
31011021122221211001120
423102122031103000
5144310211121120
65322354032240
7606226320513
oct132232152300
934248854046
1012120020160
11515a487596
122422b78680
1311b1c97981
1482d940d7a
154ae07c140
hex2d268d4c0

12120020160 has 112 divisors (see below), whose sum is σ = 38704028256. Its totient is φ = 3213279232.

The previous prime is 12120020147. The next prime is 12120020161. The reversal of 12120020160 is 6102002121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12120020161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129592 + ... + 202568.

Almost surely, 212120020160 is an apocalyptic number.

12120020160 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 12120020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352014128).

12120020160 is an abundant number, since it is smaller than the sum of its proper divisors (26584008096).

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

12120020160 is a wasteful number, since it uses less digits than its factorization.

12120020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73170 (or 73160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12120020160 its reverse (6102002121), we get a palindrome (18222022281).

The spelling of 12120020160 in words is "twelve billion, one hundred twenty million, twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 173 192 240 320 346 480 519 692 865 960 1038 1384 1730 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 11072 13840 16608 20760 27680 33216 41520 55360 72977 83040 145954 166080 218931 291908 364885 437862 583816 729770 875724 1094655 1167632 1459540 1751448 2189310 2335264 2919080 3502896 4378620 4670528 5838160 7005792 8757240 11676320 12625021 14011584 17514480 23352640 25250042 35028960 37875063 50500084 63125105 70057920 75750126 101000168 126250210 151500252 189375315 202000336 252500420 303000504 378750630 404000672 505000840 606001008 757501260 808001344 1010001680 1212002016 1515002520 2020003360 2424004032 3030005040 4040006720 6060010080 12120020160