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122120232 = 233132571523
BaseRepresentation
bin1110100011101…
…10100000101000
322111210100110120
413101312200220
5222230321412
620041243240
73012001443
oct721664050
9274710416
10122120232
1162a2a813
1234a93520
131c3b9cc0
141230c65a
15aac3b8c
hex7476828

122120232 has 64 divisors (see below), whose sum is σ = 330281280. Its totient is φ = 37404672.

The previous prime is 122120209. The next prime is 122120233. The reversal of 122120232 is 232021221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122120233) 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, 79423 + ... + 80945.

It is an arithmetic number, because the mean of its divisors is an integer number (5160645).

Almost surely, 2122120232 is an apocalyptic number.

122120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

122120232 is an abundant number, since it is smaller than the sum of its proper divisors (208161048).

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

122120232 is a wasteful number, since it uses less digits than its factorization.

122120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122120232 is about 11050.8023238134. The cubic root of 122120232 is about 496.1304395923.

Adding to 122120232 its reverse (232021221), we get a palindrome (354141453).

The spelling of 122120232 in words is "one hundred twenty-two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 514 771 1028 1523 1542 2056 3046 3084 3341 4569 6092 6168 6682 9138 10023 12184 13364 18276 19799 20046 26728 36552 39598 40092 59397 79196 80184 118794 158392 237588 391411 475176 782822 1174233 1565644 2348466 3131288 4696932 5088343 9393864 10176686 15265029 20353372 30530058 40706744 61060116 122120232