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12421532112 = 24311193593449
BaseRepresentation
bin10111001000110000…
…11000100111010000
31012001200022012200220
423210120120213100
5200414403011422
65412324313040
7616550165223
oct134430304720
935050265626
1012421532112
1152a46a3a20
1224a7b42780
13122c5a4a02
1485b9c95ba
154ca788e5c
hex2e46189d0

12421532112 has 160 divisors (see below), whose sum is σ = 36961920000. Its totient is φ = 3555025920.

The previous prime is 12421532111. The next prime is 12421532117. The reversal of 12421532112 is 21123512421.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421532111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3599764 + ... + 3603212.

It is an arithmetic number, because the mean of its divisors is an integer number (231012000).

Almost surely, 212421532112 is an apocalyptic number.

12421532112 is a gapful number since it is divisible by the number (12) 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 12421532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960000).

12421532112 is an abundant number, since it is smaller than the sum of its proper divisors (24540387888).

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

12421532112 is a wasteful number, since it uses less digits than its factorization.

12421532112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3843 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The spelling of 12421532112 in words is "twelve billion, four hundred twenty-one million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 359 418 456 528 627 718 836 912 1077 1254 1436 1672 2154 2508 2872 3344 3449 3949 4308 5016 5744 6821 6898 7898 8616 10032 10347 11847 13642 13796 15796 17232 20463 20694 23694 27284 27592 31592 37939 40926 41388 47388 54568 55184 63184 65531 75031 75878 81852 82776 94776 109136 113817 131062 150062 151756 163704 165552 189552 196593 225093 227634 262124 300124 303512 327408 393186 450186 455268 524248 600248 607024 720841 786372 900372 910536 1048496 1200496 1238191 1441682 1572744 1800744 1821072 2162523 2476382 2883364 3145488 3601488 3714573 4325046 4952764 5766728 7429146 8650092 9905528 11533456 13620101 14858292 17300184 19811056 23525629 27240202 29716584 34600368 40860303 47051258 54480404 59433168 70576887 81720606 94102516 108960808 141153774 163441212 188205032 217921616 258781919 282307548 326882424 376410064 517563838 564615096 653764848 776345757 1035127676 1129230192 1552691514 2070255352 3105383028 4140510704 6210766056 12421532112