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122148 = 22341329
BaseRepresentation
bin11101110100100100
320012120000
4131310210
512402043
62341300
71016055
oct356444
9205500
10122148
1183854
125a830
13437a0
143272c
15262d3
hex1dd24

122148 has 60 divisors (see below), whose sum is σ = 355740. Its totient is φ = 36288.

The previous prime is 122147. The next prime is 122149. The reversal of 122148 is 841221.

It is an interprime number because it is at equal distance from previous prime (122147) and next prime (122149).

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 82944 = 198^2 + 288^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 122148.

It is not an unprimeable number, because it can be changed into a prime (122147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4198 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (5929).

2122148 is an apocalyptic number.

122148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177870).

122148 is an abundant number, since it is smaller than the sum of its proper divisors (233592).

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

122148 is a wasteful number, since it uses less digits than its factorization.

122148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

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

The square root of 122148 is about 349.4967811011. The cubic root of 122148 is about 49.6168040531.

122148 divided by its sum of digits (18) gives a triangular number (6786 = T116).

Adding to 122148 its reverse (841221), we get a palindrome (963369).

The spelling of 122148 in words is "one hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1404 1508 1566 2106 2262 2349 3132 3393 4212 4524 4698 6786 9396 10179 13572 20358 30537 40716 61074 122148