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12120431220 = 2233579284117
BaseRepresentation
bin10110100100110111…
…10001101001110100
31011021200201200221000
423102123301221310
5144310312244340
65322410523300
7606232652112
oct132233615164
934250650830
1012120431220
11515a738407
122423136530
1311b20acac1
1482da0aab2
154ae10dd30
hex2d26f1a74

12120431220 has 96 divisors (see below), whose sum is σ = 38185459200. Its totient is φ = 3191190912.

The previous prime is 12120431209. The next prime is 12120431249. The reversal of 12120431220 is 2213402121.

It is a happy number.

12120431220 is a `hidden beast` number, since 1 + 2 + 12 + 0 + 431 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12120431193 and 12120431202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99399 + ... + 184718.

It is an arithmetic number, because the mean of its divisors is an integer number (397765200).

Almost surely, 212120431220 is an apocalyptic number.

12120431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120431220 is an abundant number, since it is smaller than the sum of its proper divisors (26065027980).

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

12120431220 is a wasteful number, since it uses less digits than its factorization.

12120431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284214 (or 284206 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12120431220 its reverse (2213402121), we get a palindrome (14333833341).

The spelling of 12120431220 in words is "twelve billion, one hundred twenty million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 284117 568234 852351 1136468 1420585 1704702 2557053 2841170 3409404 4261755 5114106 5682340 7671159 8523510 10228212 12785265 15342318 17047020 22445243 25570530 30684636 38355795 44890486 51141060 67335729 76711590 89780972 112226215 134671458 153423180 202007187 224452430 269342916 336678645 404014374 448904860 606021561 673357290 808028748 1010035935 1212043122 1346714580 2020071870 2424086244 3030107805 4040143740 6060215610 12120431220