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12041312430240 = 253258362022521
BaseRepresentation
bin1010111100111001011000…
…1001100110100010100000
31120122010201202201000010100
42233032112021212202200
53034241101440231430
641335411430502400
72351645642614362
oct257162611464240
946563652630110
1012041312430240
113922767a50135
12142582b204a00
1369464c63cb92
142d8b345c4d32
1515d34ec50960
hexaf3962668a0

12041312430240 has 72 divisors (see below), whose sum is σ = 41090978673108. Its totient is φ = 3211016647680.

The previous prime is 12041312430229. The next prime is 12041312430263. The reversal of 12041312430240 is 4203421314021.

12041312430240 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 312 + 4 + 302 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11024498339856 + 1016814090384 = 3320316^2 + 1008372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4181009821 + ... + 4181012700.

Almost surely, 212041312430240 is an apocalyptic number.

12041312430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041312430240 is an abundant number, since it is smaller than the sum of its proper divisors (29049666242868).

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

12041312430240 is a wasteful number, since it uses less digits than its factorization.

12041312430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362022542 (or 8362022531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12041312430240 its reverse (4203421314021), we get a palindrome (16244733744261).

The spelling of 12041312430240 in words is "twelve trillion, forty-one billion, three hundred twelve million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8362022521 16724045042 25086067563 33448090084 41810112605 50172135126 66896180168 75258202689 83620225210 100344270252 125430337815 133792360336 150516405378 167240450420 200688540504 250860675630 267584720672 301032810756 334480900840 376291013445 401377081008 501721351260 602065621512 668961801680 752582026890 802754162016 1003442702520 1204131243024 1337923603360 1505164053780 2006885405040 2408262486048 3010328107560 4013770810080 6020656215120 12041312430240