Search a number
-
+
12121032330 = 232511193072099
BaseRepresentation
bin10110100100111100…
…00100011010001010
31011021201212020111100
423102132010122022
5144310441013310
65322431442230
7606241034451
oct132236043212
934251766440
1012121032330
115160008aa0
122423386376
1311b22605a4
1482db25b98
154ae1cbec0
hex2d278468a

12121032330 has 192 divisors, whose sum is σ = 36324288000. Its totient is φ = 2773388160.

The previous prime is 12121032293. The next prime is 12121032337. The reversal of 12121032330 is 3323012121.

12121032330 is a `hidden beast` number, since 121 + 210 + 3 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12121032337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5773621 + ... + 5775719.

It is an arithmetic number, because the mean of its divisors is an integer number (189189000).

Almost surely, 212121032330 is an apocalyptic number.

12121032330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144000).

12121032330 is an abundant number, since it is smaller than the sum of its proper divisors (24203255670).

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

12121032330 is a wasteful number, since it uses less digits than its factorization.

12121032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12121032330 its reverse (3323012121), we get a palindrome (15444044451).

The spelling of 12121032330 in words is "twelve billion, one hundred twenty-one million, thirty-two thousand, three hundred thirty".