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12104001440 = 255299726893
BaseRepresentation
bin10110100010111010…
…00110011110100000
31011020112210222111122
423101131012132200
5144242111021230
65321022431412
7605643212636
oct132135063640
934215728448
1012104001440
115151436483
122419732568
1311ab87973b
1482b771356
154ac965be5
hex2d17467a0

12104001440 has 96 divisors (see below), whose sum is σ = 29887840080. Its totient is φ = 4626284544.

The previous prime is 12104001373. The next prime is 12104001443. The reversal of 12104001440 is 4410040121.

It can be written as a sum of positive squares in 8 ways, for example, as 8391292816 + 3712708624 = 91604^2 + 60932^2 .

It is not an unprimeable number, because it can be changed into a prime (12104001443) 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, 436634 + ... + 463526.

Almost surely, 212104001440 is an apocalyptic number.

12104001440 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 12104001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943920040).

12104001440 is an abundant number, since it is smaller than the sum of its proper divisors (17783838640).

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

12104001440 is a wasteful number, since it uses less digits than its factorization.

12104001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27034 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12104001440 its reverse (4410040121), we get a palindrome (16514041561).

The spelling of 12104001440 in words is "twelve billion, one hundred four million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 97 116 145 160 194 232 290 388 464 485 580 776 928 970 1160 1552 1940 2320 2813 3104 3880 4640 5626 7760 11252 14065 15520 22504 26893 28130 45008 53786 56260 90016 107572 112520 134465 215144 225040 268930 430288 450080 537860 779897 860576 1075720 1559794 2151440 2608621 3119588 3899485 4302880 5217242 6239176 7798970 10434484 12478352 13043105 15597940 20868968 24956704 26086210 31195880 41737936 52172420 62391760 75650009 83475872 104344840 124783520 151300018 208689680 302600036 378250045 417379360 605200072 756500090 1210400144 1513000180 2420800288 3026000360 6052000720 12104001440