121000032 has 72 divisors (see below), whose sum is σ = 349975080. Its totient is φ = 39644160.

The previous prime is 121000003. The next prime is 121000049. The reversal of 121000032 is 230000121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120999978 and 121000023.

It is a congruent number.

It is an unprimeable number.

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, 13432 + ... + 20552.

It is an arithmetic number, because the mean of its divisors is an integer number (4860765).

Almost surely, 2^121000032 is an apocalyptic number.

121000032 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 121000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174987540).

121000032 is an abundant number, since it is smaller than the sum of its proper divisors (228975048).

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

121000032 is a wasteful number, since it uses less digits than its factorization.

121000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 121000032 is about 11000.0014545454. The cubic root of 121000032 is about 494.6087879267.

Adding to 121000032 its reverse (230000121), we get a palindrome (351000153).

The spelling of 121000032 in words is "one hundred twenty-one million, thirty-two", and thus it is an aban number.