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12421143312 = 243378978583
BaseRepresentation
bin10111001000101101…
…11001101100010000
31012001122120110100220
423210112321230100
5200414303041222
65412312113040
7616543655544
oct134426715420
935048513326
1012421143312
1152a44588a6
1224a7995780
13122c499a56
1485b927a24
154ca70db5c
hex2e45b9b10

12421143312 has 80 divisors (see below), whose sum is σ = 33325902720. Its totient is φ = 3983164416.

The previous prime is 12421143299. The next prime is 12421143337. The reversal of 12421143312 is 21334112421.

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

It is a nude number because it is divisible by every one of its digits.

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, 118773 + ... + 197355.

It is an arithmetic number, because the mean of its divisors is an integer number (416573784).

Almost surely, 212421143312 is an apocalyptic number.

12421143312 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 12421143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662951360).

12421143312 is an abundant number, since it is smaller than the sum of its proper divisors (20904759408).

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

12421143312 is a wasteful number, since it uses less digits than its factorization.

12421143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78720 (or 78714 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12421143312 its reverse (21334112421), we get a palindrome (33755255733).

The spelling of 12421143312 in words is "twelve billion, four hundred twenty-one million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 89 111 148 178 222 267 296 356 444 534 592 712 888 1068 1424 1776 2136 3293 4272 6586 9879 13172 19758 26344 39516 52688 78583 79032 157166 158064 235749 314332 471498 628664 942996 1257328 1885992 2907571 3771984 5815142 6993887 8722713 11630284 13987774 17445426 20981661 23260568 27975548 34890852 41963322 46521136 55951096 69781704 83926644 111902192 139563408 167853288 258773819 335706576 517547638 776321457 1035095276 1552642914 2070190552 3105285828 4140381104 6210571656 12421143312