121095648 has 168 divisors, whose sum is σ = 371838600. Its totient is φ = 38755584.

The previous prime is 121095613. The next prime is 121095649. The reversal of 121095648 is 846590121.

121095648 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 9 + 5 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121095649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676423 + ... + 676601.

It is an arithmetic number, because the mean of its divisors is an integer number (2213325).

Almost surely, 2^121095648 is an apocalyptic number.

121095648 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 121095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185919300).

121095648 is an abundant number, since it is smaller than the sum of its proper divisors (250742952).

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

121095648 is an equidigital number, since it uses as much as digits as its factorization.

121095648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121095648 is about 11004.3467775239. The cubic root of 121095648 is about 494.7390359977.

It can be divided in two parts, 1 and 21095648, that added together give a square (21095649 = 4593²).

The spelling of 121095648 in words is "one hundred twenty-one million, ninety-five thousand, six hundred forty-eight".