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12003323212320 = 25351119773154787
BaseRepresentation
bin1010111010101011110111…
…0100001111001000100000
31120111111200020021210002020
42232222331310033020200
53033130301220243240
641310130042021440
72346132352603116
oct256527564171040
946444606253066
1012003323212320
113908643033470
12141a3a87a7880
13690ba703b4cb
142d6d6d0bbab6
1515c379a5b0d0
hexaeabdd0f220

12003323212320 has 384 divisors, whose sum is σ = 43475169346560. Its totient is φ = 2753160007680.

The previous prime is 12003323212313. The next prime is 12003323212337. The reversal of 12003323212320 is 2321232330021.

12003323212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77469967 + ... + 77624753.

It is an arithmetic number, because the mean of its divisors is an integer number (113216586840).

Almost surely, 212003323212320 is an apocalyptic number.

12003323212320 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 12003323212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737584673280).

12003323212320 is an abundant number, since it is smaller than the sum of its proper divisors (31471846134240).

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

12003323212320 is a wasteful number, since it uses less digits than its factorization.

12003323212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155608 (or 155600 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12003323212320 its reverse (2321232330021), we get a palindrome (14324555542341).

The spelling of 12003323212320 in words is "twelve trillion, three billion, three hundred twenty-three million, two hundred twelve thousand, three hundred twenty".