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121221312021 = 33172311482553
BaseRepresentation
bin111000011100101011…
…0100110111000010101
3102120220010021200122000
41300321112212320111
53441230123441041
6131404401225513
711520656102565
oct1607126467025
9376803250560
10121221312021
11474562a79a7
121b5b0932299
13b57b2311c4
145c1d622da5
153247300bb6
hex1c395a6e15

121221312021 has 32 divisors (see below), whose sum is σ = 198418533120. Its totient is φ = 72753449472.

The previous prime is 121221312001. The next prime is 121221312041. The reversal of 121221312021 is 120213122121.

It is an interprime number because it is at equal distance from previous prime (121221312001) and next prime (121221312041).

It is not a de Polignac number, because 121221312021 - 215 = 121221279253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121221311985 and 121221312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221312001) 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 31 ways as a sum of consecutive naturals, for example, 5730720 + ... + 5751833.

It is an arithmetic number, because the mean of its divisors is an integer number (6200579160).

Almost surely, 2121221312021 is an apocalyptic number.

It is an amenable number.

121221312021 is a deficient number, since it is larger than the sum of its proper divisors (77197221099).

121221312021 is a wasteful number, since it uses less digits than its factorization.

121221312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482602 (or 11482596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121221312021 its reverse (120213122121), we get a palindrome (241434434142).

The spelling of 121221312021 in words is "one hundred twenty-one billion, two hundred twenty-one million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 11482553 34447659 103342977 195203401 264098719 310028931 585610203 792296157 1756830609 2376888471 4489678223 5270491827 7130665413 13469034669 40407104007 121221312021