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12042240 = 2143572
BaseRepresentation
bin101101111100…
…000000000000
3211122210211220
4231330000000
511040322430
61110035040
7204233400
oct55740000
924583756
1012042240
116885571
124048a80
1326582b2
141856800
1510cd110
hexb7c000

12042240 has 180 divisors, whose sum is σ = 44825256. Its totient is φ = 2752512.

The previous prime is 12042197. The next prime is 12042241. The reversal of 12042240 is 4224021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1720317 + ... + 1720323.

Almost surely, 212042240 is an apocalyptic number.

12042240 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 12042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412628).

12042240 is an abundant number, since it is smaller than the sum of its proper divisors (32783016).

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

12042240 is an frugal number, since it uses more digits than its factorization.

12042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12042240 is about 3470.1930782018. The cubic root of 12042240 is about 229.2111602130.

Multiplying 12042240 by its sum of digits (15), we get a square (180633600 = 134402).

12042240 divided by its sum of digits (15) gives a square (802816 = 8962).

Adding to 12042240 its reverse (4224021), we get a palindrome (16266261).

The spelling of 12042240 in words is "twelve million, forty-two thousand, two hundred forty".