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122301234 = 232112233241
BaseRepresentation
bin1110100101000…
…10101100110010
322112010112202100
413102202230302
5222302114414
620045201230
73013354236
oct722425462
9275115670
10122301234
1163043800
1234b60216
131c4514c3
14123585c6
15ab0c609
hex74a2b32

122301234 has 72 divisors (see below), whose sum is σ = 293729436. Its totient is φ = 36748800.

The previous prime is 122301209. The next prime is 122301241. The reversal of 122301234 is 432103221.

It can be written as a sum of positive squares in 2 ways, for example, as 122213025 + 88209 = 11055^2 + 297^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 507354 + ... + 507594.

Almost surely, 2122301234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122301234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864718).

122301234 is an abundant number, since it is smaller than the sum of its proper divisors (171428202).

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

122301234 is a wasteful number, since it uses less digits than its factorization.

122301234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122301234 is about 11058.9888326194. The cubic root of 122301234 is about 496.3754338642.

Adding to 122301234 its reverse (432103221), we get a palindrome (554404455).

The spelling of 122301234 in words is "one hundred twenty-two million, three hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 233 241 242 363 466 482 699 723 726 1089 1398 1446 2097 2169 2178 2563 2651 4194 4338 5126 5302 7689 7953 15378 15906 23067 23859 28193 29161 46134 47718 56153 56386 58322 84579 87483 112306 168459 169158 174966 253737 262449 336918 505377 507474 524898 617683 1010754 1235366 1853049 3706098 5559147 6794513 11118294 13589026 20383539 40767078 61150617 122301234