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12320112016 = 24277492
BaseRepresentation
bin10110111100101010…
…11111110110010000
31011210121110112111001
423132111133312100
5200212422041031
65354302431344
7614206136632
oct133625376620
934717415431
1012320112016
115252422563
122479b92554
131214584a14
1484c348a52
154c1903861
hex2de55fd90

12320112016 has 15 divisors (see below), whose sum is σ = 23871077281. Its totient is φ = 6159834016.

The previous prime is 12320111983. The next prime is 12320112047. The reversal of 12320112016 is 61021102321.

The square root of 12320112016 is 110996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3272297616 + 9047814400 = 57204^2 + 95120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12320111984 and 12320112002.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 430110 + ... + 457858.

Almost surely, 212320112016 is an apocalyptic number.

12320112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12320112016 is the 110996-th square number.

It is an amenable number.

12320112016 is a deficient number, since it is larger than the sum of its proper divisors (11550965265).

12320112016 is an frugal number, since it uses more digits than its factorization.

12320112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55506 (or 27751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Multiplying 12320112016 by its product of nonzero digits (144), we get a square (1774096130304 = 13319522).

Adding to 12320112016 its reverse (61021102321), we get a palindrome (73341214337).

The spelling of 12320112016 in words is "twelve billion, three hundred twenty million, one hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 27749 55498 110996 221992 443984 770007001 1540014002 3080028004 6160056008 12320112016