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12103213211232 = 25311131891946601
BaseRepresentation
bin1011000000011111111110…
…1110010101111001100000
31120212001111201221111012120
42300013333232111321200
53041244340040224412
641424050035224240
72356266622563543
oct260077756257140
946761451844176
1012103213211232
113946a42367080
121435825748080
1369a435b15240
142dbb276a685a
1515ec742b7b8c
hexb01ffb95e60

12103213211232 has 192 divisors, whose sum is σ = 37328067786240. Its totient is φ = 3385262592000.

The previous prime is 12103213211161. The next prime is 12103213211239. The reversal of 12103213211232 is 23211231230121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103213211239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259696732 + ... + 259743332.

It is an arithmetic number, because the mean of its divisors is an integer number (194417019720).

Almost surely, 212103213211232 is an apocalyptic number.

12103213211232 is a gapful number since it is divisible by the number (12) 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 12103213211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18664033893120).

12103213211232 is an abundant number, since it is smaller than the sum of its proper divisors (25224854575008).

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

12103213211232 is a wasteful number, since it uses less digits than its factorization.

12103213211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65557 (or 65549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12103213211232 its reverse (23211231230121), we get a palindrome (35314444441353).

The spelling of 12103213211232 in words is "twelve trillion, one hundred three billion, two hundred thirteen million, two hundred eleven thousand, two hundred thirty-two".