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121972768516 = 223124321312
BaseRepresentation
bin111000110011000100…
…1001011111100000100
3102122211111021122011001
41301212021023330010
53444300012043031
6132011123423044
711545412266054
oct1614611137404
9378744248131
10121972768516
11478014a2325
121b780524a84
13b66ab18911
145c91353564
15328d289861
hex1c6624bf04

121972768516 has 81 divisors (see below), whose sum is σ = 227545496199. Its totient is φ = 57206494800.

The previous prime is 121972768499. The next prime is 121972768517. The reversal of 121972768516 is 615867279121.

The square root of 121972768516 is 349246.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121972768517) 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 26 ways as a sum of consecutive naturals, for example, 931089771 + ... + 931089901.

Almost surely, 2121972768516 is an apocalyptic number.

121972768516 is the 349246-th square number.

It is an amenable number.

121972768516 is a deficient number, since it is larger than the sum of its proper divisors (105572727683).

121972768516 is an equidigital number, since it uses as much as digits as its factorization.

121972768516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 55.

The spelling of 121972768516 in words is "one hundred twenty-one billion, nine hundred seventy-two million, seven hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 31 43 62 86 124 131 172 262 524 961 1333 1849 1922 2666 3698 3844 4061 5332 5633 7396 8122 11266 16244 17161 22532 34322 41323 57319 68644 82646 114638 125891 165292 174623 229276 242219 251782 349246 484438 503564 531991 698492 737923 968876 1063982 1475846 1776889 2127964 2951692 3553778 5413313 7107556 7508789 10826626 15017578 16491721 21653252 22875613 30035156 31730689 32983442 45751226 63461378 65966884 91502452 126922756 232772459 465544918 709144003 931089836 983651359 1418288006 1967302718 2836576012 3934605436 30493192129 60986384258 121972768516