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122198128 = 2413619631
BaseRepresentation
bin1110100100010…
…01100001110000
322111221022022121
413102021201300
5222240320003
620043044024
73012444523
oct722114160
9274838277
10122198128
1162a83298
1234b10614
131c4165b0
141232cbba
15aadbcbd
hex7489870

122198128 has 40 divisors (see below), whose sum is σ = 259177856. Its totient is φ = 55468800.

The previous prime is 122198123. The next prime is 122198129. The reversal of 122198128 is 821891221.

It is a junction number, because it is equal to n+sod(n) for n = 122198093 and 122198102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122198123) 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, 7873 + ... + 17503.

Almost surely, 2122198128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129588928).

122198128 is an abundant number, since it is smaller than the sum of its proper divisors (136979728).

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

122198128 is a wasteful number, since it uses less digits than its factorization.

122198128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713 (or 9707 counting only the distinct ones).

The product of its digits is 4608, while the sum is 34.

The square root of 122198128 is about 11054.3262119407. The cubic root of 122198128 is about 496.2359049519.

The spelling of 122198128 in words is "one hundred twenty-two million, one hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 9631 12688 19262 38524 77048 125203 154096 250406 500812 587491 1001624 1174982 2003248 2349964 4699928 7637383 9399856 15274766 30549532 61099064 122198128