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122405080 = 23572383229
BaseRepresentation
bin1110100101111…
…00000011011000
322112022211012111
413102330003120
5222313430310
620051322104
73014266060
oct722740330
9275284174
10122405080
1163104826
1234bb0334
131c489855
14123843a0
15ab2d28a
hex74bc0d8

122405080 has 128 divisors (see below), whose sum is σ = 333849600. Its totient is φ = 39485952.

The previous prime is 122405077. The next prime is 122405089. The reversal of 122405080 is 80504221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122405089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534406 + ... + 534634.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2122405080 is an apocalyptic number.

122405080 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 122405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

122405080 is an abundant number, since it is smaller than the sum of its proper divisors (211444520).

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

122405080 is a wasteful number, since it uses less digits than its factorization.

122405080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 122405080 is about 11063.6829311039. The cubic root of 122405080 is about 496.5158849430.

The spelling of 122405080 in words is "one hundred twenty-two million, four hundred five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 83 92 115 140 161 166 184 229 230 280 322 332 415 458 460 581 644 664 805 830 916 920 1145 1162 1288 1603 1610 1660 1832 1909 2290 2324 2905 3206 3220 3320 3818 4580 4648 5267 5810 6412 6440 7636 8015 9160 9545 10534 11620 12824 13363 15272 16030 19007 19090 21068 23240 26335 26726 32060 36869 38014 38180 42136 52670 53452 64120 66815 73738 76028 76360 95035 105340 106904 133049 133630 147476 152056 184345 190070 210680 266098 267260 294952 368690 380140 437161 532196 534520 665245 737380 760280 874322 1064392 1330490 1474760 1748644 2185805 2660980 3060127 3497288 4371610 5321960 6120254 8743220 12240508 15300635 17486440 24481016 30601270 61202540 122405080