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12020020100000 = 255511101108191
BaseRepresentation
bin1010111011101010000100…
…0001110011101110100000
31120120002202212102120001122
42232322201001303232200
53033414000121200000
641321530534151412
72350263206033003
oct256724101635640
946502685376048
1012020020100000
113914730a922a0
1214216884b2568
136926382b42c3
142d7ab481753a
1515ca0580c085
hexaeea1073ba0

12020020100000 has 288 divisors, whose sum is σ = 32587373274624. Its totient is φ = 4327600000000.

The previous prime is 12020020099961. The next prime is 12020020100003. The reversal of 12020020100000 is 102002021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12020020100003) 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, 111045905 + ... + 111154095.

It is an arithmetic number, because the mean of its divisors is an integer number (113150601648).

Almost surely, 212020020100000 is an apocalyptic number.

12020020100000 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 12020020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293686637312).

12020020100000 is an abundant number, since it is smaller than the sum of its proper divisors (20567353174624).

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

12020020100000 is a wasteful number, since it uses less digits than its factorization.

12020020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108338 (or 108310 counting only the distinct ones).

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

Adding to 12020020100000 its reverse (102002021), we get a palindrome (12020122102021).

The spelling of 12020020100000 in words is "twelve trillion, twenty billion, twenty million, one hundred thousand".