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13121212000 = 2553131714843
BaseRepresentation
bin11000011100001010…
…11100111001100000
31020212102212122001211
430032011130321200
5203333012241000
610010001035504
7643104314251
oct141605347140
936772778054
1013121212000
115623644866
122662325b94
131311531490
148c68bcb28
1551bde67ba
hex30e15ce60

13121212000 has 192 divisors, whose sum is σ = 36763481664. Its totient is φ = 4559462400.

The previous prime is 13121211947. The next prime is 13121212003. The reversal of 13121212000 is 21212131.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876579 + ... + 891421.

It is an arithmetic number, because the mean of its divisors is an integer number (191476467).

Almost surely, 213121212000 is an apocalyptic number.

13121212000 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 13121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381740832).

13121212000 is an abundant number, since it is smaller than the sum of its proper divisors (23642269664).

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

13121212000 is a wasteful number, since it uses less digits than its factorization.

13121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13121212000 its reverse (21212131), we get a palindrome (13142424131).

The spelling of 13121212000 in words is "thirteen billion, one hundred twenty-one million, two hundred twelve thousand".