Search a number
-
+
122121405 = 3357129229
BaseRepresentation
bin1110100011101…
…10110010111101
322111210102002000
413101312302331
5222230341110
620041252513
73012005040
oct721666275
9274712060
10122121405
1162a3068a
1234a94139
131c3ba6b3
141230cc57
15aac41c0
hex7476cbd

122121405 has 32 divisors (see below), whose sum is σ = 248121600. Its totient is φ = 55826496.

The previous prime is 122121383. The next prime is 122121413. The reversal of 122121405 is 504121221.

It is not a de Polignac number, because 122121405 - 212 = 122117309 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 63670 + ... + 65559.

It is an arithmetic number, because the mean of its divisors is an integer number (7753800).

Almost surely, 2122121405 is an apocalyptic number.

122121405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122121405 is an abundant number, since it is smaller than the sum of its proper divisors (126000195).

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

122121405 is a wasteful number, since it uses less digits than its factorization.

122121405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129250 (or 129244 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122121405 is about 11050.8553967555. The cubic root of 122121405 is about 496.1320280791.

Adding to 122121405 its reverse (504121221), we get a palindrome (626242626).

The spelling of 122121405 in words is "one hundred twenty-two million, one hundred twenty-one thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 129229 387687 646145 904603 1163061 1938435 2713809 3489183 4523015 5815305 8141427 13569045 17445915 24424281 40707135 122121405