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12442212312 = 233518425513
BaseRepresentation
bin10111001011001110…
…10001011111011000
31012010010012212121020
423211213101133120
5200440201243222
65414343442440
7620221026315
oct134547213730
935103185536
1012442212312
1153053392a2
1224b2a56420
13123396590a
1486064dd0c
154cc4c165c
hex2e59d17d8

12442212312 has 16 divisors (see below), whose sum is σ = 31105530840. Its totient is φ = 4147404096.

The previous prime is 12442212311. The next prime is 12442212323. The reversal of 12442212312 is 21321224421.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 518425513 = 12442212312 / (1 + 2 + 4 + 4 + 2 + 2 + 1 + 2 + 3 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442212311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259212733 + ... + 259212780.

Almost surely, 212442212312 is an apocalyptic number.

12442212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12442212312 is an abundant number, since it is smaller than the sum of its proper divisors (18663318528).

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

12442212312 is a wasteful number, since it uses less digits than its factorization.

12442212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518425522 (or 518425518 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12442212312 its reverse (21321224421), we get a palindrome (33763436733).

The spelling of 12442212312 in words is "twelve billion, four hundred forty-two million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 518425513 1036851026 1555276539 2073702052 3110553078 4147404104 6221106156 12442212312