121948848 has 160 divisors (see below), whose sum is σ = 408704000. Its totient is φ = 34800192.

The previous prime is 121948847. The next prime is 121948867. The reversal of 121948848 is 848849121.

121948848 is a `hidden beast` number, since 121 + 9 + 488 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121948847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147765 + ... + 148587.

It is an arithmetic number, because the mean of its divisors is an integer number (2554400).

Almost surely, 2^121948848 is an apocalyptic number.

121948848 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 121948848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204352000).

121948848 is an abundant number, since it is smaller than the sum of its proper divisors (286755152).

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

121948848 is an equidigital number, since it uses as much as digits as its factorization.

121948848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 835 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 121948848 is about 11043.0452321812. The cubic root of 121948848 is about 495.8982404841.

The spelling of 121948848 in words is "one hundred twenty-one million, nine hundred forty-eight thousand, eight hundred forty-eight".