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12000001102020 = 22335677313932687
BaseRepresentation
bin1010111010011111011111…
…0011011001000011000100
31120111012002201011002111000
42232213313303121003010
53033102000240231040
641304420245413300
72345654133252261
oct256476763310304
946435081132430
1012000001102020
113907198867868
12141982010a230
136907979b7379
142d6b35bc8268
1515c23308c130
hexae9f7cd90c4

12000001102020 has 384 divisors, whose sum is σ = 38687110963200. Its totient is φ = 3086595984384.

The previous prime is 12000001101997. The next prime is 12000001102031. The reversal of 12000001102020 is 2020110000021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000001101993 and 12000001102011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 367102117 + ... + 367134803.

It is an arithmetic number, because the mean of its divisors is an integer number (100747684800).

Almost surely, 212000001102020 is an apocalyptic number.

12000001102020 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 12000001102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343555481600).

12000001102020 is an abundant number, since it is smaller than the sum of its proper divisors (26687109861180).

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

12000001102020 is a wasteful number, since it uses less digits than its factorization.

12000001102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32984 (or 32976 counting only the distinct ones).

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

Adding to 12000001102020 its reverse (2020110000021), we get a palindrome (14020111102041).

The spelling of 12000001102020 in words is "twelve trillion, one million, one hundred two thousand, twenty".