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122341120 = 285118689
BaseRepresentation
bin1110100101011…
…00011100000000
322112012120110121
413102230130000
5222304403440
620050110024
73013611436
oct722543400
9275176417
10122341120
1163070770
1234b7b314
131c4666c5
1412368d56
15ab1934a
hex74ac700

122341120 has 72 divisors (see below), whose sum is σ = 319722480. Its totient is φ = 44482560.

The previous prime is 122341103. The next prime is 122341123. The reversal of 122341120 is 21143221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122341094 and 122341103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122341123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9736 + ... + 18424.

It is an arithmetic number, because the mean of its divisors is an integer number (4440590).

Almost surely, 2122341120 is an apocalyptic number.

122341120 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 122341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159861240).

122341120 is an abundant number, since it is smaller than the sum of its proper divisors (197381360).

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

122341120 is an equidigital number, since it uses as much as digits as its factorization.

122341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122341120 is about 11060.7920150412. The cubic root of 122341120 is about 496.4293888354.

Adding to 122341120 its reverse (21143221), we get a palindrome (143484341).

The spelling of 122341120 in words is "one hundred twenty-two million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 8689 14080 17378 34756 43445 69512 86890 95579 139024 173780 191158 278048 347560 382316 477895 556096 695120 764632 955790 1112192 1390240 1529264 1911580 2224384 2780480 3058528 3823160 5560960 6117056 7646320 11121920 12234112 15292640 24468224 30585280 61170560 122341120