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12412411220 = 22511291945519
BaseRepresentation
bin10111000111101011…
…00101110101010100
31012001001010211012002
423203311211311110
5200410034124340
65411401014432
7616406516546
oct134365456524
935031124162
1012412411220
11529a5342a0
1224a4a84418
13122a730331
1485a6d3696
154c9a86715
hex2e3d65d54

12412411220 has 48 divisors (see below), whose sum is σ = 29416262400. Its totient is φ = 4357960320.

The previous prime is 12412411189. The next prime is 12412411237. The reversal of 12412411220 is 2211421421.

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 = 12412411192 and 12412411201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966380 + ... + 979139.

It is an arithmetic number, because the mean of its divisors is an integer number (612838800).

Almost surely, 212412411220 is an apocalyptic number.

12412411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412411220 is an abundant number, since it is smaller than the sum of its proper divisors (17003851180).

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

12412411220 is a wasteful number, since it uses less digits than its factorization.

12412411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945568 (or 1945566 counting only the distinct ones).

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

Adding to 12412411220 its reverse (2211421421), we get a palindrome (14623832641).

The spelling of 12412411220 in words is "twelve billion, four hundred twelve million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 1945519 3891038 7782076 9727595 19455190 21400709 38910380 42801418 56420051 85602836 107003545 112840102 214007090 225680204 282100255 428014180 564200510 620620561 1128401020 1241241122 2482482244 3103102805 6206205610 12412411220