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122941 = 7213193
BaseRepresentation
bin11110000000111101
320020122101
4132000331
512413231
62345101
71021300
oct360075
9206571
10122941
1184405
125b191
1343c60
1432b37
1526661
hex1e03d

122941 has 12 divisors (see below), whose sum is σ = 154812. Its totient is φ = 96768.

The previous prime is 122939. The next prime is 122953. The reversal of 122941 is 149221.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 99225 = 154^2 + 315^2 .

It is not a de Polignac number, because 122941 - 21 = 122939 is a prime.

It is a super-2 number, since 2×1229412 = 30228978962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (12901).

2122941 is an apocalyptic number.

It is an amenable number.

122941 is a deficient number, since it is larger than the sum of its proper divisors (31871).

122941 is a wasteful number, since it uses less digits than its factorization.

122941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 122941 is about 350.6294340183. The cubic root of 122941 is about 49.7239453482.

The spelling of 122941 in words is "one hundred twenty-two thousand, nine hundred forty-one".