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120880687041 = 367921632
BaseRepresentation
bin111000010010100001…
…1001110011111000001
3102120000101100011000000
41300211003032133001
53440030423441131
6131310512350213
711506351613052
oct1604503163701
9376011304000
10120880687041
11472a0aa6354
121b516845369
13b5257ab26a
145bca2b6729
153227469ce6
hex1c250ce7c1

120880687041 has 63 divisors (see below), whose sum is σ = 184694367249. Its totient is φ = 79078893192.

The previous prime is 120880687021. The next prime is 120880687049. The reversal of 120880687041 is 140786088021.

The square root of 120880687041 is 347679.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120880687041 - 215 = 120880654273 is a prime.

It is a super-2 number, since 2×1208806870412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120880687049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 741599226 + ... + 741599388.

It is an arithmetic number, because the mean of its divisors is an integer number (2931656623).

Almost surely, 2120880687041 is an apocalyptic number.

120880687041 is the 347679-th square number.

120880687041 is the 173840-th centered octagonal number.

It is an amenable number.

120880687041 is a deficient number, since it is larger than the sum of its proper divisors (63813680208).

120880687041 is an frugal number, since it uses more digits than its factorization.

120880687041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 120880687041 in words is "one hundred twenty billion, eight hundred eighty million, six hundred eighty-seven thousand, forty-one".

Divisors: 1 3 9 27 79 81 163 237 243 489 711 729 1467 2133 4401 6241 6399 12877 13203 18723 19197 26569 38631 39609 56169 57591 79707 115893 118827 168507 239121 347679 505521 717363 1017283 1043037 1516563 2098951 2152089 3051849 3129111 4549689 6296853 6456267 9155547 9387333 18890559 19368801 27466641 56671677 82399923 165817129 170015031 247199769 497451387 510045093 741599307 1492354161 1530135279 4477062483 13431187449 40293562347 120880687041