121738032 has 160 divisors (see below), whose sum is σ = 384350400. Its totient is φ = 36661248.

The previous prime is 121738021. The next prime is 121738033. The reversal of 121738032 is 230837121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121737987 and 121738005.

It is not an unprimeable number, because it can be changed into a prime (121738033) 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 31 ways as a sum of consecutive naturals, for example, 297444 + ... + 297852.

It is an arithmetic number, because the mean of its divisors is an integer number (2402190).

Almost surely, 2^121738032 is an apocalyptic number.

121738032 is a gapful number since it is divisible by the number (12) 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 121738032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192175200).

121738032 is an abundant number, since it is smaller than the sum of its proper divisors (262612368).

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

121738032 is a wasteful number, since it uses less digits than its factorization.

121738032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 121738032 is about 11033.4959101819. The cubic root of 121738032 is about 495.6123184622.

The spelling of 121738032 in words is "one hundred twenty-one million, seven hundred thirty-eight thousand, thirty-two".