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12288120340 = 225614406017
BaseRepresentation
bin10110111000110110…
…11101011000010100
31011201101021012011011
423130123131120110
5200131224322330
65351201022004
7613340204506
oct133433353024
934641235134
1012288120340
115236361761
12246b324904
13120aa63332
14847dbbd76
154bdbd482a
hex2dc6dd614

12288120340 has 12 divisors (see below), whose sum is σ = 25805052756. Its totient is φ = 4915248128.

The previous prime is 12288120329. The next prime is 12288120347. The reversal of 12288120340 is 4302188221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1295856004 + 10992264336 = 35998^2 + 104844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288120347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 307202989 + ... + 307203028.

It is an arithmetic number, because the mean of its divisors is an integer number (2150421063).

Almost surely, 212288120340 is an apocalyptic number.

12288120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288120340 is an abundant number, since it is smaller than the sum of its proper divisors (13516932416).

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

12288120340 is a wasteful number, since it uses less digits than its factorization.

12288120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614406026 (or 614406024 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 12288120340 in words is "twelve billion, two hundred eighty-eight million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 614406017 1228812034 2457624068 3072030085 6144060170 12288120340