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12245516112 = 24319234712421
BaseRepresentation
bin10110110011110001…
…11011111101010000
31011121102002200010210
423121320323331100
5200034323003422
65343035524120
7612312112104
oct133170737520
934542080123
1012245516112
115214302555
122458bb9640
131201c9732b
1484248b904
154ba0bb10c
hex2d9e3bf50

12245516112 has 160 divisors (see below), whose sum is σ = 35489157120. Its totient is φ = 3619883520.

The previous prime is 12245516111. The next prime is 12245516113. The reversal of 12245516112 is 21161554221.

It is an interprime number because it is at equal distance from previous prime (12245516111) and next prime (12245516113).

It is a self number, because there is not a number n which added to its sum of digits gives 12245516112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245516111) 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, 979662 + ... + 992082.

It is an arithmetic number, because the mean of its divisors is an integer number (221807232).

Almost surely, 212245516112 is an apocalyptic number.

12245516112 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 12245516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744578560).

12245516112 is an abundant number, since it is smaller than the sum of its proper divisors (23243641008).

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

12245516112 is a wasteful number, since it uses less digits than its factorization.

12245516112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12521 (or 12515 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The spelling of 12245516112 in words is "twelve billion, two hundred forty-five million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 47 48 57 69 76 92 94 114 138 141 152 184 188 228 276 282 304 368 376 437 456 552 564 752 874 893 912 1081 1104 1128 1311 1748 1786 2162 2256 2622 2679 3243 3496 3572 4324 5244 5358 6486 6992 7144 8648 10488 10716 12421 12972 14288 17296 20539 20976 21432 24842 25944 37263 41078 42864 49684 51888 61617 74526 82156 99368 123234 149052 164312 198736 235999 246468 285683 298104 328624 471998 492936 571366 583787 596208 707997 857049 943996 985872 1142732 1167574 1415994 1714098 1751361 1887992 2285464 2335148 2831988 3428196 3502722 3775984 4570928 4670296 5427977 5663976 6856392 7005444 9340592 10855954 11091953 11327952 13427101 13712784 14010888 16283931 21711908 22183906 26854202 28021776 32567862 33275859 40281303 43423816 44367812 53708404 65135724 66551718 80562606 86847632 88735624 107416808 130271448 133103436 161125212 177471248 214833616 255114919 260542896 266206872 322250424 510229838 532413744 644500848 765344757 1020459676 1530689514 2040919352 3061379028 4081838704 6122758056 12245516112