121642848 has 72 divisors (see below), whose sum is σ = 348559848. Its totient is φ = 40238592.

The previous prime is 121642841. The next prime is 121642861. The reversal of 121642848 is 848246121.

121642848 is a `hidden beast` number, since 1 + 2 + 1 + 642 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121642848² = 29593964939102208, which contains 22 as substring.

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 plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121642841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37915 + ... + 40997.

It is an arithmetic number, because the mean of its divisors is an integer number (4841109).

Almost surely, 2^121642848 is an apocalyptic number.

121642848 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 121642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174279924).

121642848 is an abundant number, since it is smaller than the sum of its proper divisors (226917000).

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

121642848 is a wasteful number, since it uses less digits than its factorization.

121642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3225 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 121642848 is about 11029.1816559525. The cubic root of 121642848 is about 495.4831157189.

Adding to 121642848 its reverse (848246121), we get a palindrome (969888969).

The spelling of 121642848 in words is "one hundred twenty-one million, six hundred forty-two thousand, eight hundred forty-eight".