Search a number
-
+
12212021120 = 275132234909
BaseRepresentation
bin10110101111110010…
…01010011110000000
31011112002001221122112
423113321022132000
5200002234133440
65335441554452
7611424316055
oct132771123600
934462057575
1012212021120
1151a7405242
122449945a28
1311c806a600
1483bc4d02c
154b71a1965
hex2d7e4a780

12212021120 has 192 divisors, whose sum is σ = 32994021600. Its totient is φ = 4312129536.

The previous prime is 12212021099. The next prime is 12212021123. The reversal of 12212021120 is 2112021221.

12212021120 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 = 12212021095 and 12212021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212021123) 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 23 ways as a sum of consecutive naturals, for example, 2485226 + ... + 2490134.

Almost surely, 212212021120 is an apocalyptic number.

12212021120 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 12212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497010800).

12212021120 is an abundant number, since it is smaller than the sum of its proper divisors (20782000480).

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

12212021120 is a wasteful number, since it uses less digits than its factorization.

12212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212021120 its reverse (2112021221), we get a palindrome (14324042341).

The spelling of 12212021120 in words is "twelve billion, two hundred twelve million, twenty-one thousand, one hundred twenty".