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12270720 = 273571183
BaseRepresentation
bin101110110011…
…110010000000
3212002102021010
4232303302000
511120130340
61115000520
7206204460
oct56636200
925072233
1012270720
116a211a0
124139140
1327082a7
1418b5ba0
151125b80
hexbb3c80

12270720 has 256 divisors, whose sum is σ = 49351680. Its totient is φ = 2519040.

The previous prime is 12270703. The next prime is 12270733. The reversal of 12270720 is 2707221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147799 + ... + 147881.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 212270720 is an apocalyptic number.

12270720 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 12270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

12270720 is an abundant number, since it is smaller than the sum of its proper divisors (37080960).

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

12270720 is a wasteful number, since it uses less digits than its factorization.

12270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 12270720 is about 3502.9587494003. The cubic root of 12270720 is about 230.6517117877.

Adding to 12270720 its reverse (2707221), we get a palindrome (14977941).

The spelling of 12270720 in words is "twelve million, two hundred seventy thousand, seven hundred twenty".