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12465064500 = 2235378314303
BaseRepresentation
bin10111001101111100…
…11100101000110100
31012011201012212220120
423212332130220310
5201012024031000
65420521331540
7620616204630
oct134676345064
935151185816
1012465064500
1153172274a9
1224ba636bb0
131238607315
148636bbdc0
154ce4d76a0
hex2e6f9ca34

12465064500 has 192 divisors, whose sum is σ = 41986473984. Its totient is φ = 2814633600.

The previous prime is 12465064481. The next prime is 12465064501. The reversal of 12465064500 is 546056421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12465064501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864349 + ... + 878651.

It is an arithmetic number, because the mean of its divisors is an integer number (218679552).

Almost surely, 212465064500 is an apocalyptic number.

12465064500 is a gapful number since it is divisible by the number (10) 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 12465064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993236992).

12465064500 is an abundant number, since it is smaller than the sum of its proper divisors (29521409484).

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

12465064500 is a wasteful number, since it uses less digits than its factorization.

12465064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 12465064500 in words is "twelve billion, four hundred sixty-five million, sixty-four thousand, five hundred".