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12222022120 = 2357111012389
BaseRepresentation
bin10110110000111110…
…10100000111101000
31011112202220001102221
423120133110013220
5200012314201440
65340440203424
7611605321360
oct133037240750
934482801387
1012222022120
115202016130
122451169574
1311ca15c769
1483d2d39a0
154b7ec9d4a
hex2d87d41e8

12222022120 has 192 divisors, whose sum is σ = 34716988800. Its totient is φ = 3762048000.

The previous prime is 12222022097. The next prime is 12222022181. The reversal of 12222022120 is 2122022221.

12222022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12222022094 and 12222022103.

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 47 ways as a sum of consecutive naturals, for example, 31418886 + ... + 31419274.

It is an arithmetic number, because the mean of its divisors is an integer number (180817650).

Almost surely, 212222022120 is an apocalyptic number.

12222022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358494400).

12222022120 is an abundant number, since it is smaller than the sum of its proper divisors (22494966680).

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

12222022120 is a wasteful number, since it uses less digits than its factorization.

12222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12222022120 its reverse (2122022221), we get a palindrome (14344044341).

The spelling of 12222022120 in words is "twelve billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".