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12422241400 = 2352208729761
BaseRepresentation
bin10111001000110110…
…00101110001111000
31012001201122020122211
423210123011301320
5200420043211100
65412351424504
7616556211142
oct134433056170
935051566584
1012422241400
1152a5038908
1224a8225134
13122c7927ca
1485bb31c92
154ca8791ba
hex2e46c5c78

12422241400 has 48 divisors (see below), whose sum is σ = 28896521040. Its totient is φ = 4966348800.

The previous prime is 12422241341. The next prime is 12422241407. The reversal of 12422241400 is 414222421.

12422241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422241407) 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 11 ways as a sum of consecutive naturals, for example, 402520 + ... + 432280.

It is an arithmetic number, because the mean of its divisors is an integer number (602010855).

Almost surely, 212422241400 is an apocalyptic number.

12422241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422241400 is an abundant number, since it is smaller than the sum of its proper divisors (16474279640).

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

12422241400 is a wasteful number, since it uses less digits than its factorization.

12422241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31864 (or 31855 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12422241400 its reverse (414222421), we get a palindrome (12836463821).

The spelling of 12422241400 in words is "twelve billion, four hundred twenty-two million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2087 4174 8348 10435 16696 20870 29761 41740 52175 59522 83480 104350 119044 148805 208700 238088 297610 417400 595220 744025 1190440 1488050 2976100 5952200 62111207 124222414 248444828 310556035 496889656 621112070 1242224140 1552780175 2484448280 3105560350 6211120700 12422241400