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121110120112221 = 32101330409403241
BaseRepresentation
bin11011100010011000100101…
…101100000010000001011101
3120212211000101111121202210100
4123202120211230002001131
5111333232011222042341
61105325115431331313
734336626451353102
oct3342304554020135
9525730344552710
10121110120112221
1135653571518309
12116bbb52220b39
135276834a58416
1421c9a92604aa9
15e005437dd3b6
hex6e2625b0205d

121110120112221 has 24 divisors (see below), whose sum is σ = 176669860905720. Its totient is φ = 79940233152000.

The previous prime is 121110120112187. The next prime is 121110120112283. The reversal of 121110120112221 is 122211021011121.

It is a happy number.

121110120112221 is a `hidden beast` number, since 1 + 211 + 1 + 0 + 120 + 112 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97645919744025 + 23464200368196 = 9881595^2 + 4843986^2 .

It is not a de Polignac number, because 121110120112221 - 29 = 121110120111709 is a prime.

It is a super-2 number, since 2×1211101201122212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121110120112194 and 121110120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110120112021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300140161 + ... + 300543401.

It is an arithmetic number, because the mean of its divisors is an integer number (7361244204405).

Almost surely, 2121110120112221 is an apocalyptic number.

It is an amenable number.

121110120112221 is a deficient number, since it is larger than the sum of its proper divisors (55559740793499).

121110120112221 is a wasteful number, since it uses less digits than its factorization.

121110120112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733757 (or 733754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121110120112221 its reverse (122211021011121), we get a palindrome (243321141123342).

The spelling of 121110120112221 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 330409 403241 991227 1209723 2973681 3629169 33371309 40727341 100113927 122182023 300341781 366546069 133234455569 399703366707 1199110100121 13456680012469 40370040037407 121110120112221