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12252240 = 243257111317
BaseRepresentation
bin101110101111…
…010001010000
3212001110220200
4232233101100
511114032430
61114335200
7206066550
oct56572120
925043820
1012252240
116a09320
12412a500
1326cca60
1418ad160
151120460
hexbaf450

12252240 has 480 divisors, whose sum is σ = 58496256. Its totient is φ = 2211840.

The previous prime is 12252197. The next prime is 12252259. The reversal of 12252240 is 4225221.

12252240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720712 + ... + 720728.

Almost surely, 212252240 is an apocalyptic number.

12252240 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 12252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

12252240 is an abundant number, since it is smaller than the sum of its proper divisors (46244016).

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

12252240 is a wasteful number, since it uses less digits than its factorization.

12252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12252240 is about 3500.3199853728. The cubic root of 12252240 is about 230.5358646000.

Adding to 12252240 its reverse (4225221), we get a palindrome (16477461).

It can be divided in two parts, 1225 and 2240, that multiplied together give a cube (2744000 = 1403).

The spelling of 12252240 in words is "twelve million, two hundred fifty-two thousand, two hundred forty".