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12231012332000 = 2553711101569691
BaseRepresentation
bin1011000111111100000100…
…1001010011000111100000
31121022021101021112111002202
42301333001021103013200
53100343103124111000
642002503254032332
72401442613310430
oct261770111230740
947267337474082
1012231012332000
113996163666050
1214565513486a8
136a94c1a3b167
14303dac7462c0
15163253cd8dd5
hexb1fc12531e0

12231012332000 has 768 divisors, whose sum is σ = 37959239485440. Its totient is φ = 3762432000000.

The previous prime is 12231012331943. The next prime is 12231012332053. The reversal of 12231012332000 is 23321013221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17700451655 + ... + 17700452345.

It is an arithmetic number, because the mean of its divisors is an integer number (49426093080).

Almost surely, 212231012332000 is an apocalyptic number.

12231012332000 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 12231012332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979619742720).

12231012332000 is an abundant number, since it is smaller than the sum of its proper divisors (25728227153440).

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

12231012332000 is a wasteful number, since it uses less digits than its factorization.

12231012332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12231012332000 its reverse (23321013221), we get a palindrome (12254333345221).

The spelling of 12231012332000 in words is "twelve trillion, two hundred thirty-one billion, twelve million, three hundred thirty-two thousand".