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122336993720 = 23547229284161
BaseRepresentation
bin111000111101111011…
…0100110000110111000
3102200202212122012012102
41301323312212012320
54001021232244340
6132111214202532
711560424201114
oct1617366460670
9380685565172
10122336993720
1147979053097
121b8624b3448
13b6c84128a6
145cc7884744
1532b0233215
hex1c7bda61b8

122336993720 has 64 divisors (see below), whose sum is σ = 282343363200. Its totient is φ = 47684321280.

The previous prime is 122336993687. The next prime is 122336993743. The reversal of 122336993720 is 27399633221.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288440 + ... + 572600.

It is an arithmetic number, because the mean of its divisors is an integer number (4411615050).

Almost surely, 2122336993720 is an apocalyptic number.

122336993720 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 122336993720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141171681600).

122336993720 is an abundant number, since it is smaller than the sum of its proper divisors (160006369480).

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

122336993720 is a wasteful number, since it uses less digits than its factorization.

122336993720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284448 (or 284444 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 47.

The spelling of 122336993720 in words is "one hundred twenty-two billion, three hundred thirty-six million, nine hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 229 235 376 458 470 916 940 1145 1832 1880 2290 4580 9160 10763 21526 43052 53815 86104 107630 215260 284161 430520 568322 1136644 1420805 2273288 2841610 5683220 11366440 13355567 26711134 53422268 65072869 66777835 106844536 130145738 133555670 260291476 267111340 325364345 520582952 534222680 650728690 1301457380 2602914760 3058424843 6116849686 12233699372 15292124215 24467398744 30584248430 61168496860 122336993720