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122040 = 23335113
BaseRepresentation
bin11101110010111000
320012102000
4131302320
512401130
62341000
71015542
oct356270
9205360
10122040
1183766
125a760
1343719
1432692
1526260
hex1dcb8

122040 has 64 divisors (see below), whose sum is σ = 410400. Its totient is φ = 32256.

The previous prime is 122039. The next prime is 122041. The reversal of 122040 is 40221.

It is an interprime number because it is at equal distance from previous prime (122039) and next prime (122041).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024 + ... + 1136.

2122040 is an apocalyptic number.

122040 is a gapful number since it is divisible by the number (10) 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 122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200).

122040 is an abundant number, since it is smaller than the sum of its proper divisors (288360).

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

122040 is a wasteful number, since it uses less digits than its factorization.

122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122040 is about 349.3422390722. The cubic root of 122040 is about 49.6021764567.

Adding to 122040 its reverse (40221), we get a palindrome (162261).

The spelling of 122040 in words is "one hundred twenty-two thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 565 678 904 1017 1080 1130 1356 1695 2034 2260 2712 3051 3390 4068 4520 5085 6102 6780 8136 10170 12204 13560 15255 20340 24408 30510 40680 61020 122040