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12400411120 = 245292752957
BaseRepresentation
bin10111000110001111…
…10100000111110000
31012000012120011010221
423203013310013300
5200344001123440
65410251502424
7616202520046
oct134307640760
935005504127
1012400411120
115293788459
1224a0a57a14
1312280bb296
14858c8c396
154c89b5d4a
hex2e31f41f0

12400411120 has 40 divisors (see below), whose sum is σ = 28841350464. Its totient is φ = 4958376192.

The previous prime is 12400411103. The next prime is 12400411129. The reversal of 12400411120 is 2111400421.

It is a happy number.

12400411120 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 12400411094 and 12400411103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400411129) by changing a digit.

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, 207682 + ... + 260638.

Almost surely, 212400411120 is an apocalyptic number.

12400411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400411120 is an abundant number, since it is smaller than the sum of its proper divisors (16440939344).

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

12400411120 is a wasteful number, since it uses less digits than its factorization.

12400411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55897 (or 55891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12400411120 its reverse (2111400421), we get a palindrome (14511811541).

The spelling of 12400411120 in words is "twelve billion, four hundred million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2927 5854 11708 14635 23416 29270 46832 52957 58540 105914 117080 211828 234160 264785 423656 529570 847312 1059140 2118280 4236560 155005139 310010278 620020556 775025695 1240041112 1550051390 2480082224 3100102780 6200205560 12400411120