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122066136 = 23331633467
BaseRepresentation
bin1110100011010…
…01010011011000
322111200121021000
413101221103120
5222222104021
620040145000
73011354643
oct721512330
9274617230
10122066136
11629a3105
1234a68160
131c39b4aa
14122d6a5a
15aab2b26
hex74694d8

122066136 has 64 divisors (see below), whose sum is σ = 341251200. Its totient is φ = 40427424.

The previous prime is 122066123. The next prime is 122066159. The reversal of 122066136 is 631660221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33475 + ... + 36941.

It is an arithmetic number, because the mean of its divisors is an integer number (5332050).

Almost surely, 2122066136 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 122066136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170625600).

122066136 is an abundant number, since it is smaller than the sum of its proper divisors (219185064).

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

122066136 is a wasteful number, since it uses less digits than its factorization.

122066136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 122066136 is about 11048.3544476089. The cubic root of 122066136 is about 496.0571712629.

The spelling of 122066136 in words is "one hundred twenty-two million, sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3467 3912 4401 5868 6934 8802 10401 11736 13868 17604 20802 27736 31203 35208 41604 62406 83208 93609 124812 187218 249624 374436 565121 748872 1130242 1695363 2260484 3390726 4520968 5086089 6781452 10172178 13562904 15258267 20344356 30516534 40688712 61033068 122066136