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12121321212 = 223271113379091
BaseRepresentation
bin10110100100111110…
…01010111011111100
31011021202101220202200
423102133022323330
5144311024234322
65322441551500
7606243346620
oct132237127374
934252356680
1012121321212
115160196040
1224234a5590
1311b2331c20
1482db9d180
154ae2378ac
hex2d27caefc

12121321212 has 288 divisors, whose sum is σ = 42255542784. Its totient is φ = 2827353600.

The previous prime is 12121321211. The next prime is 12121321229. The reversal of 12121321212 is 21212312121.

12121321212 is a `hidden beast` number, since 12 + 121 + 321 + 212 = 666.

It is a super-2 number, since 2×121213212122 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121321211) 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, 1328787 + ... + 1337877.

Almost surely, 212121321212 is an apocalyptic number.

12121321212 is a gapful number since it is divisible by the number (12) 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 12121321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127771392).

12121321212 is an abundant number, since it is smaller than the sum of its proper divisors (30134221572).

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

12121321212 is a wasteful number, since it uses less digits than its factorization.

12121321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9164 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12121321212 its reverse (21212312121), we get a palindrome (33333633333).

Subtracting 12121321212 from its reverse (21212312121), we obtain a palindrome (9090990909).

It can be divided in two parts, 12121 and 321212, that added together give a palindrome (333333).

The spelling of 12121321212 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred twelve".