Search a number
-
+
120011122022121 = 32112352705806773
BaseRepresentation
bin11011010010011001000100…
…010011000001011011101001
3120201220221200102211022001200
4123102121010103001123221
5111212230234214201441
61103124203124234413
734164342323622501
oct3322310423013351
9521827612738050
10120011122022121
113526a481775030
1211562b61b3ba09
1351c7000708755
14218c7d8224a01
15dd1b70c997b6
hex6d26444c16e9

120011122022121 has 24 divisors (see below), whose sum is σ = 197330540561856. Its totient is φ = 69571664939040.

The previous prime is 120011122022101. The next prime is 120011122022147. The reversal of 120011122022121 is 121220221110021.

120011122022121 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 1 + 220 + 221 + 21 = 666.

It is not a de Polignac number, because 120011122022121 - 25 = 120011122022089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120011122022094 and 120011122022103.

It is not an unprimeable number, because it can be changed into a prime (120011122022101) 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, 26352901110 + ... + 26352905663.

It is an arithmetic number, because the mean of its divisors is an integer number (8222105856744).

Almost surely, 2120011122022121 is an apocalyptic number.

120011122022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011122022121 is a deficient number, since it is larger than the sum of its proper divisors (77319418539735).

120011122022121 is a wasteful number, since it uses less digits than its factorization.

120011122022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52705806813 (or 52705806810 counting only the distinct ones).

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

Adding to 120011122022121 its reverse (121220221110021), we get a palindrome (241231343132142).

It can be divided in two parts, 1200111 and 22022121, that added together give a palindrome (23222232).

The spelling of 120011122022121 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 52705806773 158117420319 474352260957 579763874503 1212233555779 1739291623509 3636700667337 5217874870527 10910102002011 13334569113569 40003707340707 120011122022121