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121399980625 = 54721121812
BaseRepresentation
bin111000100010000000…
…0001011001001010001
3102121100120110222212201
41301010000023021101
53442111343340000
6131434222523201
711525255544400
oct1610400131121
9377316428781
10121399980625
1147538140300
121b640736501
13b5a925a081
145c39251637
153257d4496a
hex1c4400b251

121399980625 has 135 divisors (see below), whose sum is σ = 195047629623. Its totient is φ = 75259800000.

The previous prime is 121399980623. The next prime is 121399980631. The reversal of 121399980625 is 526089993121.

The square root of 121399980625 is 348425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 117567380161 + 3832600464 = 342881^2 + 61908^2 .

It is not a de Polignac number, because 121399980625 - 21 = 121399980623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (121399980623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 670718035 + ... + 670718215.

Almost surely, 2121399980625 is an apocalyptic number.

121399980625 is the 348425-th square number.

121399980625 is the 174213-rd centered octagonal number.

It is an amenable number.

121399980625 is a deficient number, since it is larger than the sum of its proper divisors (73647648998).

121399980625 is an frugal number, since it uses more digits than its factorization.

121399980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 121399980625 in words is "one hundred twenty-one billion, three hundred ninety-nine million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 181 245 275 385 539 605 625 847 875 905 1225 1267 1375 1925 1991 2695 3025 4235 4375 4525 5929 6125 6335 6875 8869 9625 9955 13475 13937 15125 21175 21901 22625 29645 30625 31675 32761 44345 48125 49775 67375 69685 75625 97559 105875 109505 113125 148225 153307 158375 163805 221725 229327 248875 336875 348425 360371 487795 529375 547525 741125 766535 791875 819025 1073149 1108625 1146635 1244375 1605289 1742125 1801855 2438975 2522597 2737625 3705625 3832675 3964081 4095125 5365745 5543125 5733175 8026445 8710625 9009275 12194875 12612985 13688125 17658179 19163375 19820405 20475625 26828725 27748567 28665875 40132225 45046375 60974375 63064925 88290895 95816875 99102025 134143625 138742835 143329375 194239969 200661125 225231875 315324625 441454475 495510125 670718125 693714175 971199845 1003305625 1576623125 2207272375 2477550625 3468570875 4855999225 11036361875 17342854375 24279996125 121399980625