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12222000 = 243253797
BaseRepresentation
bin101110100111…
…111000110000
3211222221102200
4232213320300
511112101000
61113543200
7205612440
oct56477060
924887380
1012222000
11699862a
124114b00
1326bc06b
1418a2120
151116500
hexba7e30

12222000 has 240 divisors, whose sum is σ = 49288512. Its totient is φ = 2764800.

The previous prime is 12221981. The next prime is 12222013. The reversal of 12222000 is 22221.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125952 + ... + 126048.

Almost surely, 212222000 is an apocalyptic number.

12222000 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 12222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644256).

12222000 is an abundant number, since it is smaller than the sum of its proper divisors (37066512).

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

12222000 is a wasteful number, since it uses less digits than its factorization.

12222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12222000 is about 3495.9977116697. The cubic root of 12222000 is about 230.3460449468.

Adding to 12222000 its product of nonzero digits (16), we get a square (12222016 = 34962).

Adding to 12222000 its reverse (22221), we get a palindrome (12244221).

It can be divided in two parts, 122 and 22000, that added together give a palindrome (22122).

The spelling of 12222000 in words is "twelve million, two hundred twenty-two thousand".