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12121020000 = 25325467339
BaseRepresentation
bin10110100100111100…
…00001011001100000
31011021201211121120200
423102132001121200
5144310440120000
65322431305200
7606240653505
oct132236013140
934251747520
1012121020000
11515aaaa801
12242337b200
1311b2257aab
1482db214ac
154ae1c8500
hex2d2781660

12121020000 has 180 divisors, whose sum is σ = 43073290260. Its totient is φ = 3232224000.

The previous prime is 12121019971. The next prime is 12121020001. The reversal of 12121020000 is 2012121.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121020001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 146331 + ... + 213669.

It is an arithmetic number, because the mean of its divisors is an integer number (239296057).

Almost surely, 212121020000 is an apocalyptic number.

12121020000 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 12121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536645130).

12121020000 is an abundant number, since it is smaller than the sum of its proper divisors (30952270260).

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

12121020000 is an equidigital number, since it uses as much as digits as its factorization.

12121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67375 (or 67349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12121020000 its reverse (2012121), we get a palindrome (12123032121).

The spelling of 12121020000 in words is "twelve billion, one hundred twenty-one million, twenty thousand".