Search a number
-
+
121012320000 = 2835411134143
BaseRepresentation
bin111000010110011100…
…1010111011100000000
3102120100120000210110210
41300230321113130000
53440313123220000
6131331533554120
711512540514445
oct1605471273400
9376316023423
10121012320000
1147359333120
121b552945940
13b546b490a0
145bdd97d9cc
153233cbc350
hex1c2ce57700

121012320000 has 1440 divisors, whose sum is σ = 495613552896. Its totient is φ = 25804800000.

The previous prime is 121012319977. The next prime is 121012320029. The reversal of 121012320000 is 23210121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 2814239979 + ... + 2814240021.

Almost surely, 2121012320000 is an apocalyptic number.

121012320000 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 121012320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247806776448).

121012320000 is an abundant number, since it is smaller than the sum of its proper divisors (374601232896).

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

121012320000 is a wasteful number, since it uses less digits than its factorization.

121012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121012320000 its reverse (23210121), we get a palindrome (121035530121).

The spelling of 121012320000 in words is "one hundred twenty-one billion, twelve million, three hundred twenty thousand".