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121416435 = 3357128483
BaseRepresentation
bin1110011110010…
…10101011110011
322110110121001000
413033022223303
5222040311220
620014213043
73003010530
oct717125363
9273417030
10121416435
1162599a68
12347b4183
131c20185a
14121a7d87
15a9d5390
hex73caaf3

121416435 has 32 divisors (see below), whose sum is σ = 246689280. Its totient is φ = 55504224.

The previous prime is 121416377. The next prime is 121416437. The reversal of 121416435 is 534614121.

It is a happy number.

121416435 is a `hidden beast` number, since 1 + 2 + 14 + 1 + 643 + 5 = 666.

It is not a de Polignac number, because 121416435 - 26 = 121416371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121416399 and 121416408.

It is not an unprimeable number, because it can be changed into a prime (121416437) 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 31 ways as a sum of consecutive naturals, for example, 63297 + ... + 65186.

It is an arithmetic number, because the mean of its divisors is an integer number (7709040).

Almost surely, 2121416435 is an apocalyptic number.

121416435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121416435 is an abundant number, since it is smaller than the sum of its proper divisors (125272845).

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

121416435 is a wasteful number, since it uses less digits than its factorization.

121416435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128504 (or 128498 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121416435 is about 11018.9126051530. The cubic root of 121416435 is about 495.1755116827.

The spelling of 121416435 in words is "one hundred twenty-one million, four hundred sixteen thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 128483 385449 642415 899381 1156347 1927245 2698143 3469041 4496905 5781735 8094429 13490715 17345205 24283287 40472145 121416435