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12440421312 = 2631111352127
BaseRepresentation
bin10111001011000000…
…11100001111000000
31012002222211212210220
423211200130033000
5200434221440222
65414241223040
7620166556614
oct134540341700
935088755726
1012440421312
115304325730
1224b2331a80
131233489657
14860305344
154cc26ab5c
hex2e581c3c0

12440421312 has 112 divisors (see below), whose sum is σ = 36226040832. Its totient is φ = 3736391680.

The previous prime is 12440421307. The next prime is 12440421319. The reversal of 12440421312 is 21312404421.

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 (12440421319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212593 + ... + 264719.

Almost surely, 212440421312 is an apocalyptic number.

12440421312 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 12440421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113020416).

12440421312 is an abundant number, since it is smaller than the sum of its proper divisors (23785619520).

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

12440421312 is a wasteful number, since it uses less digits than its factorization.

12440421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52266 (or 52256 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12440421312 its reverse (21312404421), we get a palindrome (33752825733).

The spelling of 12440421312 in words is "twelve billion, four hundred forty million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 176 192 226 264 339 352 452 528 678 704 904 1056 1243 1356 1808 2112 2486 2712 3616 3729 4972 5424 7232 7458 9944 10848 14916 19888 21696 29832 39776 52127 59664 79552 104254 119328 156381 208508 238656 312762 417016 573397 625524 834032 1146794 1251048 1668064 1720191 2293588 2502096 3336128 3440382 4587176 5004192 5890351 6880764 9174352 10008384 11780702 13761528 17671053 18348704 23561404 27523056 35342106 36697408 47122808 55046112 64793861 70684212 94245616 110092224 129587722 141368424 188491232 194381583 259175444 282736848 376982464 388763166 518350888 565473696 777526332 1036701776 1130947392 1555052664 2073403552 3110105328 4146807104 6220210656 12440421312