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12121000001001 = 34736792030999
BaseRepresentation
bin1011000001100010001111…
…1001100011110111101001
31120220202102022221000210000
42300120203321203313221
53042042302000013001
641440151024013213
72360466452031513
oct260304371436751
946822368830700
1012121000001001
11395353a563531
12143916a461209
1369c00bb14708
142dc933a72bb3
15160465aa7a86
hexb0623e63de9

12121000001001 has 20 divisors (see below), whose sum is σ = 18106933680000. Its totient is φ = 8080553014776.

The previous prime is 12121000000999. The next prime is 12121000001017. The reversal of 12121000001001 is 10010000012121.

It is a happy number.

It is not a de Polignac number, because 12121000001001 - 21 = 12121000000999 is a prime.

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 (12121000001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4952500 + ... + 6983498.

It is an arithmetic number, because the mean of its divisors is an integer number (905346684000).

Almost surely, 212121000001001 is an apocalyptic number.

It is an amenable number.

12121000001001 is a deficient number, since it is larger than the sum of its proper divisors (5985933678999).

12121000001001 is an equidigital number, since it uses as much as digits as its factorization.

12121000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104690 (or 2104681 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12121000001001 its reverse (10010000012121), we get a palindrome (22131000013122).

The spelling of 12121000001001 in words is "twelve trillion, one hundred twenty-one billion, one thousand, one".

Divisors: 1 3 9 27 81 73679 221037 663111 1989333 2030999 5967999 6092997 18278991 54836973 164510919 149641975321 448925925963 1346777777889 4040333333667 12121000001001