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12421886880 = 25351319104773
BaseRepresentation
bin10111001000110011…
…01111001110100000
31012001200222020100110
423210121233032200
5200420000340010
65412340051320
7616553203434
oct134431571640
935050866313
1012421886880
1152a4916517
1224a8093b40
13122c69a330
1485ba7c9c4
154ca809120
hex2e466f3a0

12421886880 has 192 divisors, whose sum is σ = 44357120640. Its totient is φ = 2896736256.

The previous prime is 12421886857. The next prime is 12421886881. The reversal of 12421886880 is 8868812421.

12421886880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124218868802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12421886881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66174 + ... + 170946.

It is an arithmetic number, because the mean of its divisors is an integer number (231026670).

Almost surely, 212421886880 is an apocalyptic number.

12421886880 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 12421886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178560320).

12421886880 is an abundant number, since it is smaller than the sum of its proper divisors (31935233760).

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

12421886880 is a wasteful number, since it uses less digits than its factorization.

12421886880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104823 (or 104815 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 12421886880 in words is "twelve billion, four hundred twenty-one million, eight hundred eighty-six thousand, eight hundred eighty".