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122004330 = 23574359229
BaseRepresentation
bin1110100010110…
…10001101101010
322111120110110220
413101122031222
5222213114310
620034550510
73011006520
oct721321552
9274513426
10122004330
1162960728
1234a38436
131c379316
14122bc310
15aa9e670
hex745a36a

122004330 has 128 divisors (see below), whose sum is σ = 349747200. Its totient is φ = 26659584.

The previous prime is 122004293. The next prime is 122004347. The reversal of 122004330 is 33400221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532656 + ... + 532884.

It is an arithmetic number, because the mean of its divisors is an integer number (2732400).

Almost surely, 2122004330 is an apocalyptic number.

122004330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122004330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174873600).

122004330 is an abundant number, since it is smaller than the sum of its proper divisors (227742870).

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

122004330 is a wasteful number, since it uses less digits than its factorization.

122004330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122004330 is about 11045.5570253383. The cubic root of 122004330 is about 495.9734339092.

Adding to 122004330 its reverse (33400221), we get a palindrome (155404551).

The spelling of 122004330 in words is "one hundred twenty-two million, four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 59 70 86 105 118 129 177 210 215 229 258 295 301 354 413 430 458 590 602 645 687 826 885 903 1145 1239 1290 1374 1505 1603 1770 1806 2065 2290 2478 2537 3010 3206 3435 4130 4515 4809 5074 6195 6870 7611 8015 9030 9618 9847 12390 12685 13511 15222 16030 17759 19694 24045 25370 27022 29541 35518 38055 40533 48090 49235 53277 59082 67555 68929 76110 81066 88795 94577 98470 106554 135110 137858 147705 177590 189154 202665 206787 266385 283731 295410 344645 405330 413574 472885 532770 567462 580973 689290 945770 1033935 1161946 1418655 1742919 2067870 2837310 2904865 3485838 4066811 5809730 8133622 8714595 12200433 17429190 20334055 24400866 40668110 61002165 122004330