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121192706781 = 3230614399169
BaseRepresentation
bin111000011011110100…
…1011111001011011101
3102120211010110101121200
41300313221133023131
53441200313104111
6131401500150113
711520161003436
oct1606751371335
9376733411550
10121192706781
114744113a403
121b5a3238339
13b575327023
145c198d848d
153244a50256
hex1c37a5f2dd

121192706781 has 12 divisors (see below), whose sum is σ = 175113361020. Its totient is φ = 80768724480.

The previous prime is 121192706771. The next prime is 121192706797. The reversal of 121192706781 is 187607291121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90099027225 + 31093679556 = 300165^2 + 176334^2 .

It is not a de Polignac number, because 121192706781 - 26 = 121192706717 is a prime.

It is a super-3 number, since 3×1211927067813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121192706711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2172036 + ... + 2227133.

It is an arithmetic number, because the mean of its divisors is an integer number (14592780085).

Almost surely, 2121192706781 is an apocalyptic number.

It is an amenable number.

121192706781 is a deficient number, since it is larger than the sum of its proper divisors (53920654239).

121192706781 is a wasteful number, since it uses less digits than its factorization.

121192706781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402236 (or 4402233 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 121192706781 in words is "one hundred twenty-one billion, one hundred ninety-two million, seven hundred six thousand, seven hundred eighty-one".

Divisors: 1 3 9 3061 9183 27549 4399169 13197507 39592521 13465856309 40397568927 121192706781