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12110232120000 = 263547131167659
BaseRepresentation
bin1011000000111010001000…
…0101010110101011000000
31120212201121220020222221120
42300032202011112223000
53041403223410320000
641431210330552240
72356635561405450
oct260164205265300
946781556228846
1012110232120000
113949a14356123
121437064298680
1369acb400b9b1
142dc1d1945d60
151600355b96a0
hexb03a2156ac0

12110232120000 has 1120 divisors, whose sum is σ = 46454937661440. Its totient is φ = 2726330880000.

The previous prime is 12110232119989. The next prime is 12110232120029. The reversal of 12110232120000 is 2123201121.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18376679671 + ... + 18376680329.

It is an arithmetic number, because the mean of its divisors is an integer number (41477622912).

Almost surely, 212110232120000 is an apocalyptic number.

12110232120000 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 12110232120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227468830720).

12110232120000 is an abundant number, since it is smaller than the sum of its proper divisors (34344705541440).

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

12110232120000 is a wasteful number, since it uses less digits than its factorization.

12110232120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12110232120000 its reverse (2123201121), we get a palindrome (12112355321121).

The spelling of 12110232120000 in words is "twelve trillion, one hundred ten billion, two hundred thirty-two million, one hundred twenty thousand".