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12321285840 = 2435517231621
BaseRepresentation
bin10110111100110011…
…11110011011010000
31011210200200011200000
423132121332123100
5200213222121330
65354343530000
7614222126103
oct133631763320
934720604600
1012321285840
115253054466
12247a459900
1312148a60a6
1484c57273a
154c1a86560
hex2de67e6d0

12321285840 has 480 divisors, whose sum is σ = 47440463616. Its totient is φ = 2956124160.

The previous prime is 12321285763. The next prime is 12321285871. The reversal of 12321285840 is 4858212321.

It is a happy number.

12321285840 is a `hidden beast` number, since 12 + 321 + 285 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12321285795 and 12321285804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7600230 + ... + 7601850.

Almost surely, 212321285840 is an apocalyptic number.

12321285840 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 12321285840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23720231808).

12321285840 is an abundant number, since it is smaller than the sum of its proper divisors (35119177776).

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

12321285840 is a wasteful number, since it uses less digits than its factorization.

12321285840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12321285840 in words is "twelve billion, three hundred twenty-one million, two hundred eighty-five thousand, eight hundred forty".