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122280420 = 22352388609
BaseRepresentation
bin1110100100111…
…01100111100100
322112002111012110
413102131213210
5222300433140
620044521020
73013236453
oct722354744
9275074173
10122280420
116302a0a9
1234b50170
131c444ba2
1412350b9a
15ab06380
hex749d9e4

122280420 has 48 divisors (see below), whose sum is σ = 357275520. Its totient is φ = 31190016.

The previous prime is 122280419. The next prime is 122280421. The reversal of 122280420 is 24082221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122280419) and next prime (122280421).

It is a super-2 number, since 2×1222804202 = 29905002230752800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122280421) 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, 42925 + ... + 45684.

It is an arithmetic number, because the mean of its divisors is an integer number (7443240).

Almost surely, 2122280420 is an apocalyptic number.

122280420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122280420 is an abundant number, since it is smaller than the sum of its proper divisors (234995100).

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

122280420 is a wasteful number, since it uses less digits than its factorization.

122280420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88644 (or 88642 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 122280420 is about 11058.0477481335. The cubic root of 122280420 is about 496.3472734930.

The spelling of 122280420 in words is "one hundred twenty-two million, two hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 88609 177218 265827 354436 443045 531654 886090 1063308 1329135 1772180 2038007 2658270 4076014 5316540 6114021 8152028 10190035 12228042 20380070 24456084 30570105 40760140 61140210 122280420