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12432120448 = 271123715407
BaseRepresentation
bin10111001010000001…
…10001101010000000
31012002102020011011111
423211000301222000
5200430110323243
65413343253104
7620036165056
oct134500615200
935072204144
1012432120448
1152aa676110
1224ab5aa194
1312318412b7
1485d1841d6
154cb67b39d
hex2e5031a80

12432120448 has 128 divisors (see below), whose sum is σ = 28595773440. Its totient is φ = 5328153600.

The previous prime is 12432120359. The next prime is 12432120457. The reversal of 12432120448 is 84402123421.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2296561 + ... + 2301967.

It is an arithmetic number, because the mean of its divisors is an integer number (223404480).

Almost surely, 212432120448 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 12432120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297886720).

12432120448 is an abundant number, since it is smaller than the sum of its proper divisors (16163652992).

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

12432120448 is a wasteful number, since it uses less digits than its factorization.

12432120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 12432120448 its reverse (84402123421), we get a palindrome (96834243869).

The spelling of 12432120448 in words is "twelve billion, four hundred thirty-two million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 71 88 92 128 142 176 184 253 284 352 368 506 568 704 736 781 1012 1136 1408 1472 1562 1633 2024 2272 2944 3124 3266 4048 4544 5407 6248 6532 8096 9088 10814 12496 13064 16192 17963 21628 24992 26128 32384 35926 43256 49984 52256 59477 71852 86512 99968 104512 118954 124361 143704 173024 209024 237908 248722 287408 346048 383897 475816 497444 574816 692096 767794 951632 994888 1149632 1367971 1535588 1903264 1989776 2299264 2735942 3071176 3806528 3979552 4222867 5471884 6142352 7613056 7959104 8445734 8829631 10943768 12284704 15918208 16891468 17659262 21887536 24569408 33782936 35318524 43775072 49138816 67565872 70637048 87550144 97125941 135131744 141274096 175100288 194251882 270263488 282548192 388503764 540526976 565096384 777007528 1130192768 1554015056 3108030112 6216060224 12432120448