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122124940 = 22571723297
BaseRepresentation
bin1110100011101…
…11101010001100
322111210120220221
413101313222030
5222230444230
620041321124
73012021250
oct721675214
9274716827
10122124940
1162a33303
1234a961a4
131c3bc1a2
1412310260
15aac527a
hex7477a8c

122124940 has 144 divisors (see below), whose sum is σ = 327765312. Its totient is φ = 37306368.

The previous prime is 122124931. The next prime is 122124953. The reversal of 122124940 is 49421221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258972 + ... + 1259068.

It is an arithmetic number, because the mean of its divisors is an integer number (2276148).

Almost surely, 2122124940 is an apocalyptic number.

122124940 is a gapful number since it is divisible by the number (10) 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 122124940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163882656).

122124940 is an abundant number, since it is smaller than the sum of its proper divisors (205640372).

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

122124940 is a wasteful number, since it uses less digits than its factorization.

122124940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 122124940 is about 11051.0153379678. The cubic root of 122124940 is about 496.1368151455.

The spelling of 122124940 in words is "one hundred twenty-two million, one hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 97 115 119 140 161 170 194 230 238 322 340 388 391 460 476 485 529 595 644 679 782 805 970 1058 1190 1358 1564 1610 1649 1940 1955 2116 2231 2380 2645 2716 2737 3220 3298 3395 3703 3910 4462 5290 5474 6596 6790 7406 7820 8245 8924 8993 10580 10948 11155 11543 13580 13685 14812 15617 16490 17986 18515 22310 23086 27370 31234 32980 35972 37030 37927 44620 44965 46172 51313 54740 57715 62468 62951 74060 75854 78085 89930 102626 115430 125902 151708 156170 179860 189635 205252 230860 251804 256565 265489 312340 314755 359191 379270 513130 530978 629510 718382 758540 872321 1026260 1061956 1259020 1327445 1436764 1744642 1795955 2654890 3489284 3591910 4361605 5309780 6106247 7183820 8723210 12212494 17446420 24424988 30531235 61062470 122124940