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12480748800 = 2835213311613
BaseRepresentation
bin10111001111110100…
…10001110100000000
31012012210201201201120
423213322101310000
5201030032430200
65422241432240
7621166420512
oct134772216400
935183651646
1012480748800
11532506a333
12250393b680
13123b939280
14865801bb2
154d0a849a0
hex2e7e91d00

12480748800 has 432 divisors, whose sum is σ = 45816734208. Its totient is φ = 2971238400.

The previous prime is 12480748799. The next prime is 12480748807. The reversal of 12480748800 is 884708421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480748807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7736794 + ... + 7738406.

Almost surely, 212480748800 is an apocalyptic number.

12480748800 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 12480748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22908367104).

12480748800 is an abundant number, since it is smaller than the sum of its proper divisors (33335985408).

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

12480748800 is a wasteful number, since it uses less digits than its factorization.

12480748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 12480748800 in words is "twelve billion, four hundred eighty million, seven hundred forty-eight thousand, eight hundred".