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12421140480 = 21233573209
BaseRepresentation
bin10111001000101101…
…11001000000000000
31012001122120022111000
423210112321000000
5200414302443410
65412312052000
7616543644360
oct134426710000
935048508430
1012421140480
1152a4456761
1224a7994000
13122c498688
1485b9269a0
154ca70cdc0
hex2e45b9000

12421140480 has 416 divisors, whose sum is σ = 50482771200. Its totient is φ = 2838233088.

The previous prime is 12421140469. The next prime is 12421140517. The reversal of 12421140480 is 8404112421.

12421140480 is a `hidden beast` number, since 1 + 2 + 42 + 1 + 140 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3869116 + ... + 3872324.

Almost surely, 212421140480 is an apocalyptic number.

12421140480 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 12421140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25241385600).

12421140480 is an abundant number, since it is smaller than the sum of its proper divisors (38061630720).

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

12421140480 is an equidigital number, since it uses as much as digits as its factorization.

12421140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12421140480 in words is "twelve billion, four hundred twenty-one million, one hundred forty thousand, four hundred eighty".