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12354996480 = 283523592371
BaseRepresentation
bin10111000000110101…
…00100100100000000
31011220001002211222020
423200122210210000
5200300334341410
65401550241440
7615111510621
oct134032444400
934801084866
1012354996480
1152700897a2
1224897b6280
13121b87a008
14852c29a48
154c49e4a70
hex2e06a4900

12354996480 has 288 divisors, whose sum is σ = 41889899520. Its totient is φ = 3096698880.

The previous prime is 12354996461. The next prime is 12354996509. The reversal of 12354996480 is 8469945321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5209695 + ... + 5212065.

It is an arithmetic number, because the mean of its divisors is an integer number (145451040).

Almost surely, 212354996480 is an apocalyptic number.

12354996480 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 12354996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944949760).

12354996480 is an abundant number, since it is smaller than the sum of its proper divisors (29534903040).

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

12354996480 is a wasteful number, since it uses less digits than its factorization.

12354996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12354996480 in words is "twelve billion, three hundred fifty-four million, nine hundred ninety-six thousand, four hundred eighty".