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12001223020001 = 421132121579461
BaseRepresentation
bin1010111010100100000010…
…1000101000110111100001
31120111022020212101221211112
42232221000220220313201
53033112001043120001
641305141415353105
72346026331345335
oct256510050506741
946438225357745
1012001223020001
113907765583936
121419b01382795
13690930bb3c67
142d6c101c17c5
1515c2a54a6cbb
hexaea40a28de1

12001223020001 has 8 divisors (see below), whose sum is σ = 12038836578408. Its totient is φ = 11963652624000.

The previous prime is 12001223019983. The next prime is 12001223020009. The reversal of 12001223020001 is 10002032210021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1401380072401 + 10599842947600 = 1183799^2 + 3255740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001223020001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001223020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10233590 + ... + 11345871.

It is an arithmetic number, because the mean of its divisors is an integer number (1504854572301).

Almost surely, 212001223020001 is an apocalyptic number.

It is an amenable number.

12001223020001 is a deficient number, since it is larger than the sum of its proper divisors (37613558407).

12001223020001 is a wasteful number, since it uses less digits than its factorization.

12001223020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21581203.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12001223020001 its reverse (10002032210021), we get a palindrome (22003255230022).

The spelling of 12001223020001 in words is "twelve trillion, one billion, two hundred twenty-three million, twenty thousand, one".

Divisors: 1 421 1321 556141 21579461 9084953081 28506467981 12001223020001