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122001150 = 23522273583
BaseRepresentation
bin1110100010110…
…01011011111110
322111120022010010
413101121123332
5222213014100
620034524050
73010664325
oct721313376
9274508103
10122001150
11629592a7
1234a36626
131c377a3b
14122bb0bc
15aa9d750
hex74596fe

122001150 has 48 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 32381280.

The previous prime is 122001149. The next prime is 122001167. The reversal of 122001150 is 51100221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32259 + ... + 35841.

It is an arithmetic number, because the mean of its divisors is an integer number (6332928).

Almost surely, 2122001150 is an apocalyptic number.

122001150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122001150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

122001150 is an abundant number, since it is smaller than the sum of its proper divisors (181979394).

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

122001150 is a wasteful number, since it uses less digits than its factorization.

122001150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 122001150 is about 11045.4130751186. The cubic root of 122001150 is about 495.9691247474.

Adding to 122001150 its reverse (51100221), we get a palindrome (173101371).

The spelling of 122001150 in words is "one hundred twenty-two million, one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 227 454 681 1135 1362 2270 3405 3583 5675 6810 7166 10749 11350 17025 17915 21498 34050 35830 53745 89575 107490 179150 268725 537450 813341 1626682 2440023 4066705 4880046 8133410 12200115 20333525 24400230 40667050 61000575 122001150