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12101232111000 = 2335317594399161
BaseRepresentation
bin1011000000011000100110…
…1001000010110110011000
31120211212101200011011120220
42300012021221002312120
53041231310410023000
641423121305320040
72356166545526244
oct260061151026630
946755350134526
1012101232111000
11394611605915a
121435372196020
1369a1ab557596
142db9ba52b424
1515ebaa3da1a0
hexb0189a42d98

12101232111000 has 512 divisors, whose sum is σ = 40751403264000. Its totient is φ = 2978568192000.

The previous prime is 12101232110999. The next prime is 12101232111011. The reversal of 12101232111000 is 11123210121.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1320946420 + ... + 1320955580.

It is an arithmetic number, because the mean of its divisors is an integer number (79592584500).

Almost surely, 212101232111000 is an apocalyptic number.

12101232111000 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 12101232111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375701632000).

12101232111000 is an abundant number, since it is smaller than the sum of its proper divisors (28650171153000).

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

12101232111000 is a wasteful number, since it uses less digits than its factorization.

12101232111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12101232111000 its reverse (11123210121), we get a palindrome (12112355321121).

The spelling of 12101232111000 in words is "twelve trillion, one hundred one billion, two hundred thirty-two million, one hundred eleven thousand".