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12020010100000 = 25557137125339
BaseRepresentation
bin1010111011101010000001…
…1011101010010100100000
31120120002202011121111122021
42232322200123222110200
53033413440041200000
641321525535551224
72350263025033330
oct256724033522440
946502664544567
1012020010100000
113914726382131
12142168508b514
136926361c2746
142d7ab33730c0
1515ca049d411a
hexaeea06ea520

12020010100000 has 288 divisors, whose sum is σ = 34051131838080. Its totient is φ = 4091032320000.

The previous prime is 12020010099991. The next prime is 12020010100001. The reversal of 12020010100000 is 101002021.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (12020010100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95837331 + ... + 95962669.

It is an arithmetic number, because the mean of its divisors is an integer number (118233096660).

Almost surely, 212020010100000 is an apocalyptic number.

12020010100000 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 12020010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025565919040).

12020010100000 is an abundant number, since it is smaller than the sum of its proper divisors (22031121738080).

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

12020010100000 is an equidigital number, since it uses as much as digits as its factorization.

12020010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125518 (or 125490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12020010100000 its reverse (101002021), we get a palindrome (12020111102021).

The spelling of 12020010100000 in words is "twelve trillion, twenty billion, ten million, one hundred thousand".