121036032 has 180 divisors, whose sum is σ = 389535300. Its totient is φ = 37158912.

The previous prime is 121036031. The next prime is 121036033. The reversal of 121036032 is 230630121.

It is an interprime number because it is at equal distance from previous prime (121036031) and next prime (121036033).

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 77158656 = 6624^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121035996 and 121036014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121036031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269344 + ... + 269792.

It is an arithmetic number, because the mean of its divisors is an integer number (2164085).

Almost surely, 2^121036032 is an apocalyptic number.

121036032 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 121036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194767650).

121036032 is an abundant number, since it is smaller than the sum of its proper divisors (268499268).

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

121036032 is an equidigital number, since it uses as much as digits as its factorization.

121036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 121036032 is about 11001.6376962705. The cubic root of 121036032 is about 494.6578351611.

Adding to 121036032 its reverse (230630121), we get a palindrome (351666153).

The spelling of 121036032 in words is "one hundred twenty-one million, thirty-six thousand, thirty-two".