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12267489680 = 2451711717703
BaseRepresentation
bin10110110110011001…
…10000100110010000
31011122221110001012122
423123030300212100
5200110434132210
65345142513412
7612666641015
oct133314604620
934587401178
1012267489680
115225750626
122464435868
1312066bbb44
1484536b70c
154bbeabb55
hex2db330990

12267489680 has 80 divisors (see below), whose sum is σ = 30229386624. Its totient is φ = 4613806080.

The previous prime is 12267489677. The next prime is 12267489683. The reversal of 12267489680 is 8698476221.

It is an interprime number because it is at equal distance from previous prime (12267489677) and next prime (12267489683).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12267489683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588709 + ... + 1596411.

Almost surely, 212267489680 is an apocalyptic number.

12267489680 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 12267489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114693312).

12267489680 is an abundant number, since it is smaller than the sum of its proper divisors (17961896944).

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

12267489680 is a wasteful number, since it uses less digits than its factorization.

12267489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 12267489680 in words is "twelve billion, two hundred sixty-seven million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1171 1360 2342 4684 5855 7703 9368 11710 15406 18736 19907 23420 30812 38515 39814 46840 61624 77030 79628 93680 99535 123248 130951 154060 159256 199070 261902 308120 318512 398140 523804 616240 654755 796280 1047608 1309510 1592560 2095216 2619020 5238040 9020213 10476080 18040426 36080852 45101065 72161704 90202130 144323408 153343621 180404260 306687242 360808520 613374484 721617040 766718105 1226748968 1533436210 2453497936 3066872420 6133744840 12267489680