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12220032413424 = 24311149909154387
BaseRepresentation
bin1011000111010011001010…
…1100001110111011110000
31121021020001001212211101210
42301310302230032323300
53100203111244212144
641553445544200120
72400603536453133
oct261646254167360
947236031784353
1012220032413424
1139915397a3780
1214543a8169040
136a8462025014
1430364a3c221a
15162d0edb4ab9
hexb1d32b0eef0

12220032413424 has 80 divisors (see below), whose sum is σ = 34438725959040. Its totient is φ = 3702991438080.

The previous prime is 12220032413401. The next prime is 12220032413431. The reversal of 12220032413424 is 42431423002221.

It is a junction number, because it is equal to n+sod(n) for n = 12220032413391 and 12220032413400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79074759 + ... + 79229145.

It is an arithmetic number, because the mean of its divisors is an integer number (430484074488).

Almost surely, 212220032413424 is an apocalyptic number.

It is an amenable number.

12220032413424 is an abundant number, since it is smaller than the sum of its proper divisors (22218693545616).

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

12220032413424 is a wasteful number, since it uses less digits than its factorization.

12220032413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304318 (or 304312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12220032413424 its reverse (42431423002221), we get a palindrome (54651455415645).

The spelling of 12220032413424 in words is "twelve trillion, two hundred twenty billion, thirty-two million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 149909 154387 299818 308774 449727 463161 599636 617548 899454 926322 1199272 1235096 1648999 1698257 1798908 1852644 2398544 2470192 3297998 3396514 3597816 3705288 4946997 5094771 6595996 6793028 7195632 7410576 9893994 10189542 13191992 13586056 19787988 20379084 26383984 27172112 39575976 40758168 79151952 81516336 23144000783 46288001566 69432002349 92576003132 138864004698 185152006264 254584008613 277728009396 370304012528 509168017226 555456018792 763752025839 1018336034452 1110912037584 1527504051678 2036672068904 3055008103356 4073344137808 6110016206712 12220032413424