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12221210232 = 23337114331697
BaseRepresentation
bin10110110000111000…
…01101111001111000
31011112201100210202000
423120130031321320
5200012112211412
65340410541000
7611565400350
oct133034157170
934481323660
1012221210232
115201611150
122450a37760
1311c9c3705a
1483d161b60
154b7db94dc
hex2d870de78

12221210232 has 256 divisors, whose sum is σ = 42447283200. Its totient is φ = 3165143040.

The previous prime is 12221210227. The next prime is 12221210233. The reversal of 12221210232 is 23201212221.

12221210232 is a `hidden beast` number, since 1 + 2 + 221 + 210 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221210233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7200808 + ... + 7202504.

It is an arithmetic number, because the mean of its divisors is an integer number (165809700).

Almost surely, 212221210232 is an apocalyptic number.

12221210232 is a gapful number since it is divisible by the number (12) 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 12221210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223641600).

12221210232 is an abundant number, since it is smaller than the sum of its proper divisors (30226072968).

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

12221210232 is a wasteful number, since it uses less digits than its factorization.

12221210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221210232 its reverse (23201212221), we get a palindrome (35422422453).

The spelling of 12221210232 in words is "twelve billion, two hundred twenty-one million, two hundred ten thousand, two hundred thirty-two".