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12011220 = 22335132959
BaseRepresentation
bin101101110100…
…011011010100
3211121020022000
4231310123110
511033324340
61105235300
7204044064
oct55643324
924536260
1012011220
116864231
124032b30
132647140
1418493a4
1510c3d30
hexb746d4

12011220 has 192 divisors, whose sum is σ = 42336000. Its totient is φ = 2806272.

The previous prime is 12011213. The next prime is 12011227. The reversal of 12011220 is 2211021.

It is an interprime number because it is at equal distance from previous prime (12011213) and next prime (12011227).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203551 + ... + 203609.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 212011220 is an apocalyptic number.

12011220 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 12011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12011220 is an abundant number, since it is smaller than the sum of its proper divisors (30324780).

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

12011220 is a wasteful number, since it uses less digits than its factorization.

12011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12011220 is about 3465.7207042692. The cubic root of 12011220 is about 229.0141801380.

Adding to 12011220 its reverse (2211021), we get a palindrome (14222241).

The spelling of 12011220 in words is "twelve million, eleven thousand, two hundred twenty".