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12213000 = 2332532359
BaseRepresentation
bin101110100101…
…101100001000
3211222111002100
4232211230020
511111304000
61113433400
7205544262
oct56455410
924874070
1012213000
116991898
12410b860
1326b7c37
14189cb32
151113a00
hexba5b08

12213000 has 192 divisors, whose sum is σ = 43804800. Its totient is φ = 3062400.

The previous prime is 12212983. The next prime is 12213001. The reversal of 12213000 is 31221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206971 + ... + 207029.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 212213000 is an apocalyptic number.

12213000 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 12213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

12213000 is an abundant number, since it is smaller than the sum of its proper divisors (31591800).

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

12213000 is a wasteful number, since it uses less digits than its factorization.

12213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12213000 is about 3494.7102884216. The cubic root of 12213000 is about 230.2894905510.

Adding to 12213000 its reverse (31221), we get a palindrome (12244221).

The spelling of 12213000 in words is "twelve million, two hundred thirteen thousand".