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12412042224 = 2432928573121
BaseRepresentation
bin10111000111101000…
…01011101111110000
31012001000110002000120
423203310023233300
5200404440322344
65411345050240
7616403422011
oct134364135760
935030402016
1012412042224
11529a30203a
1224a4926980
13122a6313aa
1485a639008
154c9a12219
hex2e3d0bbf0

12412042224 has 80 divisors (see below), whose sum is σ = 33192354720. Its totient is φ = 3992002560.

The previous prime is 12412042213. The next prime is 12412042241. The reversal of 12412042224 is 42224021421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12412042194 and 12412042203.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3975384 + ... + 3978504.

It is an arithmetic number, because the mean of its divisors is an integer number (414904434).

Almost surely, 212412042224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596177360).

12412042224 is an abundant number, since it is smaller than the sum of its proper divisors (20780312496).

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

12412042224 is a wasteful number, since it uses less digits than its factorization.

12412042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12412042224 its reverse (42224021421), we get a palindrome (54636063645).

The spelling of 12412042224 in words is "twelve billion, four hundred twelve million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2857 3121 5714 6242 8571 9363 11428 12484 17142 18726 22856 24968 34284 37452 45712 49936 68568 74904 82853 90509 137136 149808 165706 181018 248559 271527 331412 362036 497118 543054 662824 724072 994236 1086108 1325648 1448144 1988472 2172216 3976944 4344432 8916697 17833394 26750091 35666788 53500182 71333576 107000364 142667152 214000728 258584213 428001456 517168426 775752639 1034336852 1551505278 2068673704 3103010556 4137347408 6206021112 12412042224