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12003221122121 = 172572747361209
BaseRepresentation
bin1010111010101011011110…
…1110110010110001001001
31120111111102010012001122202
42232222313232302301021
53033130044101401441
641310111553525545
72346130003054055
oct256526756626111
946444363161582
1012003221122121
1139085a04445a9
12141a37a5738b5
13690b8bb454c8
142d6d5d704c65
1515c370ae219b
hexaeab7bb2c49

12003221122121 has 8 divisors (see below), whose sum is σ = 12758745459240. Its totient is φ = 11253191507968.

The previous prime is 12003221122117. The next prime is 12003221122133. The reversal of 12003221122121 is 12122112230021.

It can be written as a sum of positive squares in 4 ways, for example, as 7878889708096 + 4124331414025 = 2806936^2 + 2030845^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12003221122121 - 22 = 12003221122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003221122093 and 12003221122102.

It is not an unprimeable number, because it can be changed into a prime (12003221122171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373676236 + ... + 1373684973.

It is an arithmetic number, because the mean of its divisors is an integer number (1594843182405).

Almost surely, 212003221122121 is an apocalyptic number.

It is an amenable number.

12003221122121 is a deficient number, since it is larger than the sum of its proper divisors (755524337119).

12003221122121 is a wasteful number, since it uses less digits than its factorization.

12003221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747361483.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12003221122121 its reverse (12122112230021), we get a palindrome (24125333352142).

The spelling of 12003221122121 in words is "twelve trillion, three billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 257 4369 2747361209 46705140553 706071830713 12003221122121