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12412202320 = 245722164647
BaseRepresentation
bin10111000111101001…
…10010110101010000
31012001000202012122001
423203310302311100
5200410010433240
65411352323344
7616404656530
oct134364626520
935030665561
1012412202320
11529a401351
1224a49a3554
13122a68921b
1485a67b4c0
154c9a4489a
hex2e3d32d50

12412202320 has 40 divisors (see below), whose sum is σ = 32980996224. Its totient is φ = 4255612032.

The previous prime is 12412202311. The next prime is 12412202351. The reversal of 12412202320 is 2320221421.

12412202320 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 super-2 number, since 2×124122023202 (a number of 21 digits) contains 22 as substring.

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, 11081764 + ... + 11082883.

Almost surely, 212412202320 is an apocalyptic number.

12412202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412202320 is an abundant number, since it is smaller than the sum of its proper divisors (20568793904).

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

12412202320 is a wasteful number, since it uses less digits than its factorization.

12412202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164667 (or 22164661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12412202320 its reverse (2320221421), we get a palindrome (14732423741).

The spelling of 12412202320 in words is "twelve billion, four hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22164647 44329294 88658588 110823235 155152529 177317176 221646470 310305058 354634352 443292940 620610116 775762645 886585880 1241220232 1551525290 1773171760 2482440464 3103050580 6206101160 12412202320