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12020013000000 = 2632561335557
BaseRepresentation
bin1010111011101010000010…
…0110101110010101000000
31120120002202101001211200200
42232322200212232111000
53033413441312000000
641321530122045200
72350263061502205
oct256724046562500
946502671054620
1012020013000000
113914727a82a25
121421686049800
13692636999715
142d7ab38c9cac
1515ca04da8500
hexaeea09ae540

12020013000000 has 294 divisors, whose sum is σ = 43065977224998. Its totient is φ = 3205334400000.

The previous prime is 12020012999957. The next prime is 12020013000001. The reversal of 12020013000000 is 31002021.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 11915254615104 + 104758384896 = 3451848^2 + 323664^2 .

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 (12020013000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8332222 + ... + 9667778.

Almost surely, 212020013000000 is an apocalyptic number.

12020013000000 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 12020013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532988612499).

12020013000000 is an abundant number, since it is smaller than the sum of its proper divisors (31045964224998).

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

12020013000000 is an frugal number, since it uses more digits than its factorization.

12020013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335605 (or 1335567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12020013000000 its reverse (31002021), we get a palindrome (12020044002021).

The spelling of 12020013000000 in words is "twelve trillion, twenty billion, thirteen million", and thus it is an aban number and an uban number.