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122115141 = 3343107983
BaseRepresentation
bin1110100011101…
…01010001000101
322111210002111000
413101311101011
5222230141031
620041203513
73011650551
oct721652105
9274702430
10122115141
1162a26a05
1234a90599
131c3b78a5
141230a861
15aac23e6
hex7475445

122115141 has 32 divisors (see below), whose sum is σ = 187038720. Its totient is φ = 78693552.

The previous prime is 122115121. The next prime is 122115157. The reversal of 122115141 is 141511221.

It is not a de Polignac number, because 122115141 - 211 = 122113093 is a prime.

It is a super-2 number, since 2×1221151412 = 29824215322899762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122115121) 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 31 ways as a sum of consecutive naturals, for example, 123736 + ... + 124718.

It is an arithmetic number, because the mean of its divisors is an integer number (5844960).

Almost surely, 2122115141 is an apocalyptic number.

It is an amenable number.

122115141 is a deficient number, since it is larger than the sum of its proper divisors (64923579).

122115141 is a wasteful number, since it uses less digits than its factorization.

122115141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 122115141 is about 11050.5719761468. The cubic root of 122115141 is about 496.1235451978.

Adding to 122115141 its reverse (141511221), we get a palindrome (263626362).

The spelling of 122115141 in words is "one hundred twenty-two million, one hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 43 107 129 321 387 963 983 1161 2889 2949 4601 8847 13803 26541 41409 42269 105181 124227 126807 315543 380421 946629 1141263 2839887 4522783 13568349 40705047 122115141