Search a number
-
+
12123031010000 = 245447101255383
BaseRepresentation
bin1011000001101001110011…
…1101001111101011010000
31120220221122212121222100112
42300122130331033223100
53042110431414310000
641441124335340452
72360601003233531
oct260323475175320
946827585558315
1012123031010000
113954391a5a669
121439636681728
1369c2738280a1
142dca876c0688
15160534043235
hexb069cf4fad0

12123031010000 has 200 divisors, whose sum is σ = 30272467509504. Its totient is φ = 4699028800000.

The previous prime is 12123031009987. The next prime is 12123031010017. The reversal of 12123031010000 is 1013032121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47342309 + ... + 47597691.

Almost surely, 212123031010000 is an apocalyptic number.

12123031010000 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 12123031010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136233754752).

12123031010000 is an abundant number, since it is smaller than the sum of its proper divisors (18149436499504).

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

12123031010000 is a wasteful number, since it uses less digits than its factorization.

12123031010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255559 (or 255538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12123031010000 its reverse (1013032121), we get a palindrome (12124044042121).

The spelling of 12123031010000 in words is "twelve trillion, one hundred twenty-three billion, thirty-one million, ten thousand".