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122000307 = 311213103251
BaseRepresentation
bin1110100010110…
…01001110110011
322111120020221220
413101121032303
5222213002212
620034520123
73010662012
oct721311663
9274506856
10122000307
1162958700
1234a36043
131c377540
14122baa79
15aa9d38c
hex74593b3

122000307 has 48 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 67320000.

The previous prime is 122000293. The next prime is 122000317. The reversal of 122000307 is 703000221.

It is not a de Polignac number, because 122000307 - 212 = 121996211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485932 + ... + 486182.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2122000307 is an apocalyptic number.

122000307 is a deficient number, since it is larger than the sum of its proper divisors (73196877).

122000307 is a wasteful number, since it uses less digits than its factorization.

122000307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 122000307 is about 11045.3749144155. The cubic root of 122000307 is about 495.9679824004.

Adding to 122000307 its reverse (703000221), we get a palindrome (825000528).

The spelling of 122000307 in words is "one hundred twenty-two million, three hundred seven", and thus it is an aban number.

Divisors: 1 3 11 13 33 39 103 121 143 251 309 363 429 753 1133 1339 1573 2761 3263 3399 4017 4719 8283 9789 12463 14729 25853 30371 35893 37389 44187 77559 91113 107679 162019 284383 336089 394823 486057 853149 1008267 1184469 3128213 3696979 9384639 11090937 40666769 122000307