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12030122320 = 2455361193241
BaseRepresentation
bin10110011010000110…
…10001100101010000
31011001101210112101221
423031003101211100
5144114202403240
65305423134424
7604055231626
oct131503214520
934041715357
1012030122320
115113765a57
1223b8a44414
131199480398
14821a1d516
154a6220a4a
hex2cd0d1950

12030122320 has 160 divisors (see below), whose sum is σ = 29235834144. Its totient is φ = 4600627200.

The previous prime is 12030122311. The next prime is 12030122329. The reversal of 12030122320 is 2322103021.

It is an interprime number because it is at equal distance from previous prime (12030122311) and next prime (12030122329).

It can be written as a sum of positive squares in 16 ways, for example, as 4459034176 + 7571088144 = 66776^2 + 87012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12030122294 and 12030122303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030122329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49917400 + ... + 49917640.

Almost surely, 212030122320 is an apocalyptic number.

12030122320 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 12030122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617917072).

12030122320 is an abundant number, since it is smaller than the sum of its proper divisors (17205711824).

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

12030122320 is a wasteful number, since it uses less digits than its factorization.

12030122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12030122320 its reverse (2322103021), we get a palindrome (14352225341).

The spelling of 12030122320 in words is "twelve billion, thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 61 80 106 122 193 212 241 244 265 305 386 424 482 488 530 610 772 848 964 965 976 1060 1205 1220 1544 1928 1930 2120 2410 2440 3088 3233 3856 3860 4240 4820 4880 6466 7720 9640 10229 11773 12773 12932 14701 15440 16165 19280 20458 23546 25546 25864 29402 32330 40916 46513 47092 51092 51145 51728 58804 58865 63865 64660 73505 81832 93026 94184 102184 102290 117608 117730 127730 129320 147010 163664 186052 188368 204368 204580 232565 235216 235460 255460 258640 294020 372104 409160 465130 470920 510920 588040 623969 744208 779153 818320 930260 941840 1021840 1176080 1247938 1558306 1860520 2465189 2495876 2837293 3116612 3119845 3721040 3895765 4930378 4991752 5674586 6233224 6239690 7791530 9860756 9983504 11349172 12325945 12466448 12479380 14186465 15583060 19721512 22698344 24651890 24958760 28372930 31166120 39443024 45396688 49303780 49917520 56745860 62332240 98607560 113491720 150376529 197215120 226983440 300753058 601506116 751882645 1203012232 1503765290 2406024464 3007530580 6015061160 12030122320