Search a number
-
+
121233200000 = 27551159467
BaseRepresentation
bin111000011101000001…
…1111101001110000000
3102120220221122122212112
41300322003331032000
53441241144400000
6131405504114452
711521162124453
oct1607203751600
9376827578775
10121233200000
1147461a87580
121b5b4905a28
13b580834203
145c2103949a
15324839d235
hex1c3a0fd380

121233200000 has 384 divisors, whose sum is σ = 335622268800. Its totient is φ = 43244800000.

The previous prime is 121233199999. The next prime is 121233200063. The reversal of 121233200000 is 2332121.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 259599767 + ... + 259600233.

It is an arithmetic number, because the mean of its divisors is an integer number (874016325).

Almost surely, 2121233200000 is an apocalyptic number.

121233200000 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 121233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167811134400).

121233200000 is an abundant number, since it is smaller than the sum of its proper divisors (214389068800).

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

121233200000 is an frugal number, since it uses more digits than its factorization.

121233200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121233200000 its reverse (2332121), we get a palindrome (121235532121).

It can be divided in two parts, 12123 and 3200000, that added together give a palindrome (3212123).

The spelling of 121233200000 in words is "one hundred twenty-one billion, two hundred thirty-three million, two hundred thousand".