121861128 has 64 divisors (see below), whose sum is σ = 316008000. Its totient is φ = 39128832.

The previous prime is 121861127. The next prime is 121861133. The reversal of 121861128 is 821168121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 121861095 and 121861104.

It is not an unprimeable number, because it can be changed into a prime (121861127) 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 15 ways as a sum of consecutive naturals, for example, 96163 + ... + 97421.

It is an arithmetic number, because the mean of its divisors is an integer number (4937625).

Almost surely, 2^121861128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121861128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004000).

121861128 is an abundant number, since it is smaller than the sum of its proper divisors (194146872).

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

121861128 is a wasteful number, since it uses less digits than its factorization.

121861128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 121861128 is about 11039.0727871502. The cubic root of 121861128 is about 495.7793091215.

The spelling of 121861128 in words is "one hundred twenty-one million, eight hundred sixty-one thousand, one hundred twenty-eight".