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122102022 = 23721992087
BaseRepresentation
bin1110100011100…
…10000100000110
322111202102111010
413101302010012
5222224231042
620041023050
73011564400
oct721620406
9274672433
10122102022
1162a18069
1234a84a86
131c3b1923
1412305b70
15aabd59c
hex7472106

122102022 has 48 divisors (see below), whose sum is σ = 285638400. Its totient is φ = 34694352.

The previous prime is 122102017. The next prime is 122102023. The reversal of 122102022 is 220201221.

It is a junction number, because it is equal to n+sod(n) for n = 122101989 and 122102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102023) 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 23 ways as a sum of consecutive naturals, for example, 57463 + ... + 59549.

It is an arithmetic number, because the mean of its divisors is an integer number (5950800).

Almost surely, 2122102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142819200).

122102022 is an abundant number, since it is smaller than the sum of its proper divisors (163536378).

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

122102022 is a wasteful number, since it uses less digits than its factorization.

122102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122102022 is about 11049.9783710196. The cubic root of 122102022 is about 496.1057781466.

Adding to 122102022 its reverse (220201221), we get a palindrome (342303243).

The spelling of 122102022 in words is "one hundred twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 398 597 1194 1393 2087 2786 4174 4179 6261 8358 9751 12522 14609 19502 29218 29253 43827 58506 87654 102263 204526 306789 415313 613578 830626 1245939 2491878 2907191 5814382 8721573 17443146 20350337 40700674 61051011 122102022