121634124 has 48 divisors (see below), whose sum is σ = 300814080. Its totient is φ = 38145600.

The previous prime is 121634089. The next prime is 121634129. The reversal of 121634124 is 421436121.

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 = 121634094 and 121634103.

It is not an unprimeable number, because it can be changed into a prime (121634129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32662 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (6266960).

Almost surely, 2^121634124 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 121634124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

121634124 is an abundant number, since it is smaller than the sum of its proper divisors (179179956).

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

121634124 is a wasteful number, since it uses less digits than its factorization.

121634124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3708 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 121634124 is about 11028.7861526099. The cubic root of 121634124 is about 495.4712703916.

The spelling of 121634124 in words is "one hundred twenty-one million, six hundred thirty-four thousand, one hundred twenty-four".