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12422400210 = 232511167227331
BaseRepresentation
bin10111001000110111…
…01100100011010010
31012001201221022111200
423210123230203102
5200420113301320
65412355052030
7616560442143
oct134433544322
935051838450
1012422400210
1152a5137160
1224a82a1016
13122c819b8c
1485bb73aca
154ca8ab290
hex2e46ec8d2

12422400210 has 192 divisors, whose sum is σ = 35709133824. Its totient is φ = 2971267200.

The previous prime is 12422400209. The next prime is 12422400271. The reversal of 12422400210 is 1200422421.

12422400210 is a `hidden beast` number, since 1 + 242 + 2 + 400 + 21 + 0 = 666.

12422400210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 37529745 + ... + 37530075.

It is an arithmetic number, because the mean of its divisors is an integer number (185985072).

Almost surely, 212422400210 is an apocalyptic number.

12422400210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422400210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854566912).

12422400210 is an abundant number, since it is smaller than the sum of its proper divisors (23286733614).

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

12422400210 is a wasteful number, since it uses less digits than its factorization.

12422400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12422400210 its reverse (1200422421), we get a palindrome (13622822631).

The spelling of 12422400210 in words is "twelve billion, four hundred twenty-two million, four hundred thousand, two hundred ten".