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121697950068 = 2234797471281
BaseRepresentation
bin111000101010111000…
…0110101100101110100
3102122010100011102010000
41301111300311211310
53443214133400233
6131523545231300
711535534336102
oct1612560654564
9378110142100
10121697950068
1147680358142
121b704492530
13b625bc6856
145c66a56c72
1532740a1d13
hex1c55c35974

121697950068 has 60 divisors (see below), whose sum is σ = 318542331492. Its totient is φ = 40514999040.

The previous prime is 121697950043. The next prime is 121697950109. The reversal of 121697950068 is 860059796121.

121697950068 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 9 + 79 + 500 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55822567824 + 65875382244 = 236268^2 + 256662^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121697949996 and 121697950023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22588 + ... + 493868.

Almost surely, 2121697950068 is an apocalyptic number.

121697950068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121697950068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159271165746).

121697950068 is an abundant number, since it is smaller than the sum of its proper divisors (196844381424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121697950068 is a wasteful number, since it uses less digits than its factorization.

121697950068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472094 (or 472083 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 121697950068 in words is "one hundred twenty-one billion, six hundred ninety-seven million, nine hundred fifty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 797 1594 2391 3188 4782 7173 9564 14346 21519 28692 43038 64557 86076 129114 258228 471281 942562 1413843 1885124 2827686 4241529 5655372 8483058 12724587 16966116 25449174 38173761 50898348 76347522 152695044 375610957 751221914 1126832871 1502443828 2253665742 3380498613 4507331484 6760997226 10141495839 13521994452 20282991678 30424487517 40565983356 60848975034 121697950068