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12261420 = 22325174007
BaseRepresentation
bin101110110001…
…100000101100
3212001221111200
4232301200230
511114331140
61114445500
7206135403
oct56614054
925057450
1012261420
116a15206
124133890
132703ca2
1418b263a
151123030
hexbb182c

12261420 has 72 divisors (see below), whose sum is σ = 39390624. Its totient is φ = 3076608.

The previous prime is 12261409. The next prime is 12261443. The reversal of 12261420 is 2416221.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 12261393 and 12261402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1057 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (547092).

Almost surely, 212261420 is an apocalyptic number.

12261420 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 12261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19695312).

12261420 is an abundant number, since it is smaller than the sum of its proper divisors (27129204).

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

12261420 is a wasteful number, since it uses less digits than its factorization.

12261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4034 counting only the distinct ones).

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

The square root of 12261420 is about 3501.6310485258. The cubic root of 12261420 is about 230.5934266161.

Adding to 12261420 its reverse (2416221), we get a palindrome (14677641).

The spelling of 12261420 in words is "twelve million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4007 8014 12021 16028 20035 24042 36063 40070 48084 60105 68119 72126 80140 120210 136238 144252 180315 204357 240420 272476 340595 360630 408714 613071 681190 721260 817428 1021785 1226142 1362380 2043570 2452284 3065355 4087140 6130710 12261420