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121686712357 = 7261157259309
BaseRepresentation
bin111000101010100010…
…1111110000000100101
3102122002120000110212111
41301111011332000211
53443203244243412
6131522504321021
711535336663100
oct1612505760045
9378076013774
10121686712357
1147674a82081
121b700773171
13b623790812
145c6536d737
1532730d22a7
hex1c5517e025

121686712357 has 24 divisors (see below), whose sum is σ = 144791443320. Its totient is φ = 101939160960.

The previous prime is 121686712271. The next prime is 121686712363. The reversal of 121686712357 is 753217686121.

It can be written as a sum of positive squares in 4 ways, for example, as 5655190401 + 116031521956 = 75201^2 + 340634^2 .

It is not a de Polignac number, because 121686712357 - 215 = 121686679589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121686712357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121686712057) 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 23 ways as a sum of consecutive naturals, for example, 339619 + ... + 598927.

It is an arithmetic number, because the mean of its divisors is an integer number (6032976805).

Almost surely, 2121686712357 is an apocalyptic number.

It is an amenable number.

121686712357 is a deficient number, since it is larger than the sum of its proper divisors (23104730963).

121686712357 is a wasteful number, since it uses less digits than its factorization.

121686712357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259541 (or 259534 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The spelling of 121686712357 in words is "one hundred twenty-one billion, six hundred eighty-six million, seven hundred twelve thousand, three hundred fifty-seven".

Divisors: 1 7 49 61 157 427 1099 2989 7693 9577 67039 259309 469273 1815163 12706141 15817849 40711513 110724943 284980591 775074601 1994864137 2483402293 17383816051 121686712357