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122411142 = 23371092971
BaseRepresentation
bin1110100101111…
…01100010000110
322112100010112000
413102331202012
5222314124032
620051410130
73014322540
oct722754206
9275303460
10122411142
1163109337
1234bb3946
131c48c539
1412386690
15ab2ee7c
hex74bd886

122411142 has 64 divisors (see below), whose sum is σ = 313843200. Its totient is φ = 34642080.

The previous prime is 122411141. The next prime is 122411143. The reversal of 122411142 is 241114221.

It is an interprime number because it is at equal distance from previous prime (122411141) and next prime (122411143).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122411141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39717 + ... + 42687.

It is an arithmetic number, because the mean of its divisors is an integer number (4903800).

Almost surely, 2122411142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122411142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156921600).

122411142 is an abundant number, since it is smaller than the sum of its proper divisors (191432058).

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

122411142 is a wasteful number, since it uses less digits than its factorization.

122411142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 122411142 is about 11063.9568871177. The cubic root of 122411142 is about 496.5240813066.

Adding to 122411142 its reverse (241114221), we get a palindrome (363525363).

The spelling of 122411142 in words is "one hundred twenty-two million, four hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 2971 4578 5886 5942 6867 8913 13734 17826 20601 20797 26739 41202 41594 53478 62391 80217 124782 160434 187173 323839 374346 561519 647678 971517 1123038 1943034 2266873 2914551 4533746 5829102 6800619 8743653 13601238 17487306 20401857 40803714 61205571 122411142