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12012020100000 = 25325541367887
BaseRepresentation
bin1010111011001100010000…
…1100001110101110100000
31120112100010100000110011100
42232303010030032232200
53033301104121200000
641314125034314400
72346561025122564
oct256630414165640
946470110013140
1012012020100000
1139112a6214948
121420015288a00
13691961a711ab
142d755614d6a4
1515c6d8311a00
hexaecc430eba0

12012020100000 has 864 divisors, whose sum is σ = 43906236820992. Its totient is φ = 3113049600000.

The previous prime is 12012020099983. The next prime is 12012020100001. The reversal of 12012020100000 is 102021021.

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

It is not an unprimeable number, because it can be changed into a prime (12012020100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13542299557 + ... + 13542300443.

It is an arithmetic number, because the mean of its divisors is an integer number (50817403728).

Almost surely, 212012020100000 is an apocalyptic number.

12012020100000 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 12012020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21953118410496).

12012020100000 is an abundant number, since it is smaller than the sum of its proper divisors (31894216720992).

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

12012020100000 is an equidigital number, since it uses as much as digits as its factorization.

12012020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1305 counting only the distinct ones).

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

Adding to 12012020100000 its reverse (102021021), we get a palindrome (12012122121021).

The spelling of 12012020100000 in words is "twelve trillion, twelve billion, twenty million, one hundred thousand".