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12020020211100 = 2235211101179201473
BaseRepresentation
bin1010111011101010000100…
…0010001110110110011100
31120120002202212122012110110
42232322201002032312130
53033414000133223400
641321530540410020
72350263210004626
oct256724102166634
946502685565413
1012020020211100
113914731058810
121421688546910
13692638322a45
142d7ab4845c16
1515ca0582ee50
hexaeea108ed9c

12020020211100 has 288 divisors, whose sum is σ = 38529436458240. Its totient is φ = 2868961280000.

The previous prime is 12020020211057. The next prime is 12020020211113. The reversal of 12020020211100 is 111202002021.

12020020211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59559964 + ... + 59761436.

It is an arithmetic number, because the mean of its divisors is an integer number (133782765480).

Almost surely, 212020020211100 is an apocalyptic number.

12020020211100 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 12020020211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264718229120).

12020020211100 is an abundant number, since it is smaller than the sum of its proper divisors (26509416247140).

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

12020020211100 is a wasteful number, since it uses less digits than its factorization.

12020020211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201781 (or 201774 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020020211100 its reverse (111202002021), we get a palindrome (12131222213121).

The spelling of 12020020211100 in words is "twelve trillion, twenty billion, twenty million, two hundred eleven thousand, one hundred".