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122485680 = 243251710007
BaseRepresentation
bin1110100110011…
…11101110110000
322112110220202200
413103033232300
5222324020210
620053143200
73015053052
oct723175660
9275426680
10122485680
116315a339
123502ab00
131c4b7445
14123a58d2
15ab470c0
hex74cfbb0

122485680 has 120 divisors (see below), whose sum is σ = 435588192. Its totient is φ = 30738432.

The previous prime is 122485679. The next prime is 122485709. The reversal of 122485680 is 86584221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7237 + ... + 17243.

Almost surely, 2122485680 is an apocalyptic number.

122485680 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 122485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217794096).

122485680 is an abundant number, since it is smaller than the sum of its proper divisors (313102512).

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

122485680 is a wasteful number, since it uses less digits than its factorization.

122485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122485680 is about 11067.3248800241. The cubic root of 122485680 is about 496.6248412046.

The spelling of 122485680 in words is "one hundred twenty-two million, four hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 10007 12240 20014 30021 40028 50035 60042 80056 90063 100070 120084 150105 160112 170119 180126 200140 240168 300210 340238 360252 400280 450315 480336 510357 600420 680476 720504 800560 850595 900630 1020714 1200840 1360952 1441008 1531071 1701190 1801260 2041428 2401680 2551785 2721904 3062142 3402380 3602520 4082856 5103570 6124284 6804760 7205040 7655355 8165712 10207140 12248568 13609520 15310710 20414280 24497136 30621420 40828560 61242840 122485680