122280 has 32 divisors (see below), whose sum is σ = 367200. Its totient is φ = 32576.

The previous prime is 122279. The next prime is 122299. The reversal of 122280 is 82221.

Subtracting from 122280 its sum of digits (15), we obtain a triangular number (122265 = T_{494}).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2^{122280} is an apocalyptic number.

122280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122280 is an abundant number, since it is smaller than the sum of its proper divisors (244920).

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

122280 is a wasteful number, since it uses less digits than its factorization.

122280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122280 is about 349.6855730510. The cubic root of 122280 is about 49.6346705220.

The spelling of 122280 in words is "one hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 20380 24456 30570 40760 61140 122280

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