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122041161 = 38111989
BaseRepresentation
bin1110100011000…
…11001101001001
322111122100000000
413101203031021
5222220304121
620035433213
73011222064
oct721431511
9274570000
10122041161
1162986370
1234a55809
131c390008
14122cb8db
15aaaa526
hex7463349

122041161 has 72 divisors (see below), whose sum is σ = 212565600. Its totient is φ = 69284160.

The previous prime is 122041159. The next prime is 122041177. The reversal of 122041161 is 161140221.

It is not a de Polignac number, because 122041161 - 21 = 122041159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122041111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1371205 + ... + 1371293.

It is an arithmetic number, because the mean of its divisors is an integer number (2952300).

Almost surely, 2122041161 is an apocalyptic number.

122041161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122041161 is a deficient number, since it is larger than the sum of its proper divisors (90524439).

122041161 is an frugal number, since it uses more digits than its factorization.

122041161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

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

The square root of 122041161 is about 11047.2241309752. The cubic root of 122041161 is about 496.0233374924.

Adding to 122041161 its reverse (161140221), we get a palindrome (283181382).

The spelling of 122041161 in words is "one hundred twenty-two million, forty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 11 19 27 33 57 81 89 99 171 209 243 267 297 513 627 729 801 891 979 1539 1691 1881 2187 2403 2673 2937 4617 5073 5643 6561 7209 8019 8811 13851 15219 16929 18601 21627 24057 26433 41553 45657 50787 55803 64881 72171 79299 124659 136971 152361 167409 194643 237897 410913 457083 502227 583929 713691 1232739 1371249 1506681 2141073 3698217 4520043 6423219 11094651 13560129 40680387 122041161