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12332212020 = 22325892632927
BaseRepresentation
bin10110111110000111…
…01001111100110100
31011211110020021120100
423133003221330310
5200224021241040
65355414034100
7614414033622
oct133703517464
934743207510
1012332212020
115259237467
122482048930
131216c3039b
1484dbb8512
154c29e3b30
hex2df0e9f34

12332212020 has 144 divisors (see below), whose sum is σ = 37984826880. Its totient is φ = 3238169088.

The previous prime is 12332212007. The next prime is 12332212031. The reversal of 12332212020 is 2021223321.

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 = 12332211984 and 12332212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4211797 + ... + 4214723.

It is an arithmetic number, because the mean of its divisors is an integer number (263783520).

Almost surely, 212332212020 is an apocalyptic number.

12332212020 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 12332212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992413440).

12332212020 is an abundant number, since it is smaller than the sum of its proper divisors (25652614860).

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

12332212020 is a wasteful number, since it uses less digits than its factorization.

12332212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3289 counting only the distinct ones).

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

Adding to 12332212020 its reverse (2021223321), we get a palindrome (14353435341).

The spelling of 12332212020 in words is "twelve billion, three hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 263 267 356 445 526 534 789 801 890 1052 1068 1315 1335 1578 1602 1780 2367 2630 2670 2927 3156 3204 3945 4005 4734 5260 5340 5854 7890 8010 8781 9468 11708 11835 14635 15780 16020 17562 23407 23670 26343 29270 35124 43905 46814 47340 52686 58540 70221 87810 93628 105372 117035 131715 140442 175620 210663 234070 260503 263430 280884 351105 421326 468140 521006 526860 702210 769801 781509 842652 1042012 1053315 1302515 1404420 1539602 1563018 2106630 2309403 2344527 2605030 3079204 3126036 3849005 3907545 4213260 4618806 4689054 5210060 6928209 7698010 7815090 9237612 9378108 11547015 11722635 13856418 15396020 15630180 23094030 23445270 27712836 34641045 46188060 46890540 68512289 69282090 137024578 138564180 205536867 274049156 342561445 411073734 616610601 685122890 822147468 1027684335 1233221202 1370245780 2055368670 2466442404 3083053005 4110737340 6166106010 12332212020