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121001212210122 = 23237181683501817
BaseRepresentation
bin11011100000110011001010…
…010001010110101111001010
3120212102121021112012010002200
4123200303022101112233022
5111324440440311210442
61105203104533141030
734326022560434406
oct3340631221265712
9525377245163080
10121001212210122
1135611364885552
12116a2a1918a776
1352694998a34ba
1421c46c04a4106
15dec7bc51a34c
hex6e0cca456bca

121001212210122 has 24 divisors (see below), whose sum is σ = 269254949694276. Its totient is φ = 39243636392256.

The previous prime is 121001212210091. The next prime is 121001212210129. The reversal of 121001212210122 is 221012212100121.

121001212210122 is a `hidden beast` number, since 1 + 210 + 0 + 121 + 2 + 210 + 122 = 666.

121001212210122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117995839782921 + 3005372427201 = 10862589^2 + 1733601^2 .

It is a super-3 number, since 3×1210012122101223 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121001212210095 and 121001212210104.

It is not an unprimeable number, because it can be changed into a prime (121001212210129) 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 11 ways as a sum of consecutive naturals, for example, 90841750243 + ... + 90841751574.

Almost surely, 2121001212210122 is an apocalyptic number.

121001212210122 is an abundant number, since it is smaller than the sum of its proper divisors (148253737484154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121001212210122 is a wasteful number, since it uses less digits than its factorization.

121001212210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181683501862 (or 181683501859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121001212210122 its reverse (221012212100121), we get a palindrome (342013424310243).

The spelling of 121001212210122 in words is "one hundred twenty-one trillion, one billion, two hundred twelve million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 181683501817 363367003634 545050505451 1090101010902 1635151516353 3270303032706 6722289567229 13444579134458 20166868701687 40333737403374 60500606105061 121001212210122