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122975761041 = 3272166992
BaseRepresentation
bin111001010000111101…
…1010011001010010001
3102202102101120221020100
41302201323103022101
54003323243323131
6132254433203013
711612311502400
oct1624173231221
9382371527210
10122975761041
114817667a471
121ba00400469
13b79a862c13
145d4863d637
1532eb35c7e6
hex1ca1ed3291

122975761041 has 27 divisors (see below), whose sum is σ = 206645116041. Its totient is φ = 70267655304.

The previous prime is 122975761039. The next prime is 122975761057. The reversal of 122975761041 is 140167579221.

The square root of 122975761041 is 350679.

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

122975761041 is a `hidden beast` number, since 1 + 2 + 29 + 7 + 5 + 7 + 610 + 4 + 1 = 666.

It is not a de Polignac number, because 122975761041 - 21 = 122975761039 is a prime.

It is a super-2 number, since 2×1229757610412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122975761061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7355910 + ... + 7372608.

Almost surely, 2122975761041 is an apocalyptic number.

122975761041 is the 350679-th square number.

122975761041 is the 175340-th centered octagonal number.

It is an amenable number.

122975761041 is a deficient number, since it is larger than the sum of its proper divisors (83669355000).

122975761041 is an frugal number, since it uses more digits than its factorization.

122975761041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33418 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 122975761041 in words is "one hundred twenty-two billion, nine hundred seventy-five million, seven hundred sixty-one thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 16699 50097 116893 150291 350679 818251 1052037 2454753 7364259 278856601 836569803 1951996207 2509709409 5855988621 13663973449 17567965863 40991920347 122975761041