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12212344344040 = 235499774179039
BaseRepresentation
bin1011000110110110100001…
…1100100100110111101000
31121020111012021102102212021
42301231220130210313220
53100041340123002130
641550135030154224
72400212164112521
oct261555034446750
947214167372767
1012212344344040
113989254009425
121452a014b2974
136a78082c9239
1430311b315848
15162a0ee8337a
hexb1b68724de8

12212344344040 has 64 divisors (see below), whose sum is σ = 27536745600000. Its totient is φ = 4874456828160.

The previous prime is 12212344344007. The next prime is 12212344344191. The reversal of 12212344344040 is 4044344321221.

12212344344040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12212344343987 and 12212344344005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154470841 + ... + 154549879.

It is an arithmetic number, because the mean of its divisors is an integer number (430261650000).

Almost surely, 212212344344040 is an apocalyptic number.

12212344344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212344344040 is an abundant number, since it is smaller than the sum of its proper divisors (15324401255960).

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

12212344344040 is a wasteful number, since it uses less digits than its factorization.

12212344344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87290 (or 87286 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 12212344344040 its reverse (4044344321221), we get a palindrome (16256688665261).

The spelling of 12212344344040 in words is "twelve trillion, two hundred twelve billion, three hundred forty-four million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 499 998 1996 2495 3992 4990 7741 9980 15482 19960 30964 38705 61928 77410 79039 154820 158078 309640 316156 395195 632312 790390 1580780 3161560 3862759 7725518 15451036 19313795 30902072 38627590 39440461 77255180 78880922 154510360 157761844 197202305 315523688 394404610 611840899 788809220 1223681798 1577618440 2447363596 3059204495 4894727192 6118408990 12236817980 24473635960 305308608601 610617217202 1221234434404 1526543043005 2442468868808 3053086086010 6106172172020 12212344344040