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12315205546512 = 2431123324252929
BaseRepresentation
bin1011001100110101101101…
…1100111011001000010000
31121121022200211220221000220
42303031123130323020100
53103233020104442022
642105305522513040
72410513162652301
oct263153334731020
947538624827026
1012315205546512
113a18938524270
12146a929505780
136b441b81429b
143080b836c7a8
1516553049685c
hexb335b73b210

12315205546512 has 40 divisors (see below), whose sum is σ = 34706488359840. Its totient is φ = 3731880468480.

The previous prime is 12315205546493. The next prime is 12315205546517. The reversal of 12315205546512 is 21564550251321.

It is a happy number.

12315205546512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123152055465123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12315205546517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11662125937 + ... + 11662126992.

It is an arithmetic number, because the mean of its divisors is an integer number (867662208996).

Almost surely, 212315205546512 is an apocalyptic number.

12315205546512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12315205546512 is an abundant number, since it is smaller than the sum of its proper divisors (22391282813328).

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

12315205546512 is a wasteful number, since it uses less digits than its factorization.

12315205546512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324252951 (or 23324252945 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

Adding to 12315205546512 its reverse (21564550251321), we get a palindrome (33879755797833).

The spelling of 12315205546512 in words is "twelve trillion, three hundred fifteen billion, two hundred five million, five hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 23324252929 46648505858 69972758787 93297011716 139945517574 186594023432 256566782219 279891035148 373188046864 513133564438 559782070296 769700346657 1026267128876 1119564140592 1539400693314 2052534257752 3078801386628 4105068515504 6157602773256 12315205546512