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12312232020 = 223251115739607
BaseRepresentation
bin10110111011101110…
…11100000001010100
31011210001122012011100
423131313130001110
5200203412411040
65353421510100
7614052150114
oct133567340124
934701565140
1012312232020
115248a30170
122477412330
131212a560ba
1484b297044
154c0d98b30
hex2ddddc054

12312232020 has 144 divisors (see below), whose sum is σ = 41002835328. Its totient is φ = 2965697280.

The previous prime is 12312231949. The next prime is 12312232021. The reversal of 12312232020 is 2023221321.

12312232020 is a `hidden beast` number, since 12 + 312 + 2 + 320 + 20 = 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 = 12312231984 and 12312232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312232021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291057 + ... + 330663.

It is an arithmetic number, because the mean of its divisors is an integer number (284741912).

Almost surely, 212312232020 is an apocalyptic number.

12312232020 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 12312232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501417664).

12312232020 is an abundant number, since it is smaller than the sum of its proper divisors (28690603308).

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

12312232020 is a wasteful number, since it uses less digits than its factorization.

12312232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39790 (or 39785 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12312232020 its reverse (2023221321), we get a palindrome (14335453341).

The spelling of 12312232020 in words is "twelve billion, three hundred twelve million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 157 165 180 198 220 314 330 396 471 495 628 660 785 942 990 1413 1570 1727 1884 1980 2355 2826 3140 3454 4710 5181 5652 6908 7065 8635 9420 10362 14130 15543 17270 20724 25905 28260 31086 34540 39607 51810 62172 77715 79214 103620 118821 155430 158428 198035 237642 310860 356463 396070 435677 475284 594105 712926 792140 871354 1188210 1307031 1425852 1742708 1782315 2178385 2376420 2614062 3564630 3921093 4356770 5228124 6218299 6535155 7129260 7842186 8713540 12436598 13070310 15684372 18654897 19605465 24873196 26140620 31091495 37309794 39210930 55964691 62182990 68401289 74619588 78421860 93274485 111929382 124365980 136802578 186548970 205203867 223858764 273605156 279823455 342006445 373097940 410407734 559646910 615611601 684012890 820815468 1026019335 1119293820 1231223202 1368025780 2052038670 2462446404 3078058005 4104077340 6156116010 12312232020