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12990120 = 23351113757
BaseRepresentation
bin110001100011…
…011010101000
3220102222002120
4301203122220
511311140440
61142231240
7215262033
oct61433250
926388076
1012990120
117372740
124425520
1328ca880
141a2201a
151218dd0
hexc636a8

12990120 has 128 divisors (see below), whose sum is σ = 45843840. Its totient is φ = 2903040.

The previous prime is 12990119. The next prime is 12990127. The reversal of 12990120 is 2109921.

It is a super-2 number, since 2×129901202 = 337486435228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12990127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16782 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (358155).

Almost surely, 212990120 is an apocalyptic number.

12990120 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 12990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22921920).

12990120 is an abundant number, since it is smaller than the sum of its proper divisors (32853720).

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

12990120 is a wasteful number, since it uses less digits than its factorization.

12990120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12990120 is about 3604.1809055595. The cubic root of 12990120 is about 235.0738865299.

It can be divided in two parts, 129901 and 20, that added together give a palindrome (129921).

The spelling of 12990120 in words is "twelve million, nine hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 757 780 858 1144 1320 1430 1514 1560 1716 2145 2271 2860 3028 3432 3785 4290 4542 5720 6056 7570 8327 8580 9084 9841 11355 15140 16654 17160 18168 19682 22710 24981 29523 30280 33308 39364 41635 45420 49205 49962 59046 66616 78728 83270 90840 98410 99924 108251 118092 124905 147615 166540 196820 199848 216502 236184 249810 295230 324753 333080 393640 433004 499620 541255 590460 649506 866008 999240 1082510 1180920 1299012 1623765 2165020 2598024 3247530 4330040 6495060 12990120