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12432300220116 = 2233716444841561
BaseRepresentation
bin1011010011101001111011…
…0101101001111011010100
31122000111221101012122222000
42310322132311221323110
53112142322324020431
642235153032035300
72422126663161330
oct264723665517324
948014841178860
1012432300220116
113a63566401697
121489568232b30
136c248cb143ba
1430da258b47c0
151685d53599e6
hexb4e9ed69ed4

12432300220116 has 48 divisors (see below), whose sum is σ = 36836445098880. Its totient is φ = 3552085776960.

The previous prime is 12432300220111. The next prime is 12432300220121. The reversal of 12432300220116 is 61102200323421.

12432300220116 is a `hidden beast` number, since 1 + 2 + 4 + 323 + 0 + 0 + 220 + 116 = 666.

It is an interprime number because it is at equal distance from previous prime (12432300220111) and next prime (12432300220121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12432300220116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432300220111) 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, 8222420025 + ... + 8222421536.

It is an arithmetic number, because the mean of its divisors is an integer number (767425939560).

Almost surely, 212432300220116 is an apocalyptic number.

It is an amenable number.

12432300220116 is an abundant number, since it is smaller than the sum of its proper divisors (24404144878764).

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

12432300220116 is a wasteful number, since it uses less digits than its factorization.

12432300220116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16444841581 (or 16444841573 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12432300220116 its reverse (61102200323421), we get a palindrome (73534500543537).

The spelling of 12432300220116 in words is "twelve trillion, four hundred thirty-two billion, three hundred million, two hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 16444841561 32889683122 49334524683 65779366244 98669049366 115113890927 148003574049 197338098732 230227781854 296007148098 345341672781 444010722147 460455563708 592014296196 690683345562 888021444294 1036025018343 1381366691124 1776042888588 2072050036686 3108075055029 4144100073372 6216150110058 12432300220116