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121217067045 = 32597159717389
BaseRepresentation
bin111000011100100011…
…0011010100000100101
3102120212211022000121200
41300321012122200211
53441223032121140
6131404130233113
711520605032554
oct1607106324045
9376784260550
10121217067045
1147453968658
121b5ab425799
13b57a3a5c99
145c1cc39d9b
153246c63030
hex1c3919a825

121217067045 has 48 divisors (see below), whose sum is σ = 212420797680. Its totient is φ = 63938875392.

The previous prime is 121217067031. The next prime is 121217067151. The reversal of 121217067045 is 540760712121.

It can be written as a sum of positive squares in 8 ways, for example, as 4257171009 + 116959896036 = 65247^2 + 341994^2 .

It is not a de Polignac number, because 121217067045 - 212 = 121217062949 is a prime.

It is a super-3 number, since 3×1212170670453 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6962211 + ... + 6979599.

It is an arithmetic number, because the mean of its divisors is an integer number (4425433285).

Almost surely, 2121217067045 is an apocalyptic number.

121217067045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121217067045 is a deficient number, since it is larger than the sum of its proper divisors (91203730635).

121217067045 is a wasteful number, since it uses less digits than its factorization.

121217067045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19094 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 121217067045 its reverse (540760712121), we get a palindrome (661977779166).

The spelling of 121217067045 in words is "one hundred twenty-one billion, two hundred seventeen million, sixty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 1597 4365 4791 7985 14373 17389 23955 52167 71865 86945 154909 156501 260835 464727 774545 782505 1394181 1686733 2323635 5060199 6970905 8433665 15180597 25300995 27770233 75902985 83310699 138851165 249932097 416553495 1249660485 2693712601 8081137803 13468563005 24243413409 40405689015 121217067045