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12312124668 = 2232342003463
BaseRepresentation
bin10110111011101110…
…00001110011111100
31011210001102201220100
423131313001303330
5200203400442133
65353415321100
7614051222124
oct133567016374
934701381810
1012312124668
115248967548
122477380190
131212a1928c
1484b269c84
154c0d76e13
hex2dddc1cfc

12312124668 has 18 divisors (see below), whose sum is σ = 31122315224. Its totient is φ = 4104041544.

The previous prime is 12312124663. The next prime is 12312124691. The reversal of 12312124668 is 86642121321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×123121246682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 342003463 = 12312124668 / (1 + 2 + 3 + 1 + 2 + 1 + 2 + 4 + 6 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312124663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171001696 + ... + 171001767.

Almost surely, 212312124668 is an apocalyptic number.

12312124668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12312124668 is an abundant number, since it is smaller than the sum of its proper divisors (18810190556).

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

12312124668 is a wasteful number, since it uses less digits than its factorization.

12312124668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342003473 (or 342003468 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 12312124668 its reverse (86642121321), we get a palindrome (98954245989).

The spelling of 12312124668 in words is "twelve billion, three hundred twelve million, one hundred twenty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 342003463 684006926 1026010389 1368013852 2052020778 3078031167 4104041556 6156062334 12312124668