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12404411120 = 245732124043
BaseRepresentation
bin10111000110101110…
…00100101011110000
31012000111002101010002
423203113010223300
5200401012123440
65410513325132
7616251516623
oct134327045360
935014071102
1012404411120
115295a6a742
1224a22667a8
131228b8bb4a
1485960ddba
154c9006115
hex2e35c4af0

12404411120 has 40 divisors (see below), whose sum is σ = 29235341616. Its totient is φ = 4893792768.

The previous prime is 12404411059. The next prime is 12404411161. The reversal of 12404411120 is 2111440421.

12404411120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12404411092 and 12404411101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056182 + ... + 1067861.

Almost surely, 212404411120 is an apocalyptic number.

12404411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404411120 is an abundant number, since it is smaller than the sum of its proper divisors (16830930496).

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

12404411120 is a wasteful number, since it uses less digits than its factorization.

12404411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124129 (or 2124123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12404411120 its reverse (2111440421), we get a palindrome (14515851541).

The spelling of 12404411120 in words is "twelve billion, four hundred four million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 2124043 4248086 8496172 10620215 16992344 21240430 33984688 42480860 84961720 155055139 169923440 310110278 620220556 775275695 1240441112 1550551390 2480882224 3101102780 6202205560 12404411120