121706496 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 38707200.

The previous prime is 121706483. The next prime is 121706509. The reversal of 121706496 is 694607121.

121706496 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (121706483) and next prime (121706509).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121706496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714141 + ... + 1714211.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^121706496 is an apocalyptic number.

121706496 is a gapful number since it is divisible by the number (16) 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 121706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

121706496 is an abundant number, since it is smaller than the sum of its proper divisors (255688704).

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

121706496 is an equidigital number, since it uses as much as digits as its factorization.

121706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 121706496 is about 11032.0667148092. The cubic root of 121706496 is about 495.5695189644.

The spelling of 121706496 in words is "one hundred twenty-one million, seven hundred six thousand, four hundred ninety-six".