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12010233203232 = 253114110114918433
BaseRepresentation
bin1010111011000101100110…
…1011110000101000100000
31120112011111210122200121120
42232301121223300220200
53033233424200000412
641313231443052240
72346465526551165
oct256613153605040
946464453580546
1012010233203232
11391056959a960
12141b7b6971080
136917387bb324
142d7426ac806c
1515c6314e5b8c
hexaec59af0a20

12010233203232 has 384 divisors, whose sum is σ = 35821361721600. Its totient is φ = 3491758080000.

The previous prime is 12010233203147. The next prime is 12010233203261. The reversal of 12010233203232 is 23230233201021.

It is a super-3 number, since 3×120102332032323 (a number of 40 digits) contains 333 as substring.

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, 651552288 + ... + 651570720.

It is an arithmetic number, because the mean of its divisors is an integer number (93284796150).

Almost surely, 212010233203232 is an apocalyptic number.

12010233203232 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 12010233203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910680860800).

12010233203232 is an abundant number, since it is smaller than the sum of its proper divisors (23811128518368).

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

12010233203232 is a wasteful number, since it uses less digits than its factorization.

12010233203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18748 (or 18740 counting only the distinct ones).

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

Adding to 12010233203232 its reverse (23230233201021), we get a palindrome (35240466404253).

The spelling of 12010233203232 in words is "twelve trillion, ten billion, two hundred thirty-three million, two hundred three thousand, two hundred thirty-two".