121419648 has 240 divisors, whose sum is σ = 422096400. Its totient is φ = 34546176.

The previous prime is 121419647. The next prime is 121419667. The reversal of 121419648 is 846914121.

121419648 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 9 + 648 = 666.

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

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 (121419647) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507913 + ... + 508151.

It is an arithmetic number, because the mean of its divisors is an integer number (1758735).

Almost surely, 2^121419648 is an apocalyptic number.

121419648 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 121419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211048200).

121419648 is an abundant number, since it is smaller than the sum of its proper divisors (300676752).

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

121419648 is an equidigital number, since it uses as much as digits as its factorization.

121419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 121419648 is about 11019.0583989740. The cubic root of 121419648 is about 495.1798795287.

The spelling of 121419648 in words is "one hundred twenty-one million, four hundred nineteen thousand, six hundred forty-eight".