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122434272 = 25321721471
BaseRepresentation
bin1110100110000…
…11001011100000
322112101022020200
413103003023200
5222320344042
620052105200
73014450142
oct723031340
9275338220
10122434272
1163124754
1235005200
131c499c1c
1412390c92
15ab36c4c
hex74c32e0

122434272 has 108 divisors (see below), whose sum is σ = 370109376. Its totient is φ = 38384640.

The previous prime is 122434261. The next prime is 122434307. The reversal of 122434272 is 272434221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82497 + ... + 83967.

Almost surely, 2122434272 is an apocalyptic number.

122434272 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 122434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185054688).

122434272 is an abundant number, since it is smaller than the sum of its proper divisors (247675104).

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

122434272 is a wasteful number, since it uses less digits than its factorization.

122434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 122434272 is about 11065.0021238136. The cubic root of 122434272 is about 496.5553526395. Note that the first 3 decimals are identical.

Adding to 122434272 its reverse (272434221), we get a palindrome (394868493).

The spelling of 122434272 in words is "one hundred twenty-two million, four hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1471 1632 1734 2312 2448 2601 2942 3468 4413 4624 4896 5202 5884 6936 8826 9248 10404 11768 13239 13872 17652 20808 23536 25007 26478 27744 35304 41616 47072 50014 52956 70608 75021 83232 100028 105912 141216 150042 200056 211824 225063 300084 400112 423648 425119 450126 600168 800224 850238 900252 1200336 1275357 1700476 1800504 2400672 2550714 3400952 3601008 3826071 5101428 6801904 7202016 7652142 10202856 13603808 15304284 20405712 30608568 40811424 61217136 122434272