121012032 has 56 divisors (see below), whose sum is σ = 321377056. Its totient is φ = 40186368.

The previous prime is 121012013. The next prime is 121012037. The reversal of 121012032 is 230210121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121011999 and 121012017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57918 + ... + 59970.

It is an arithmetic number, because the mean of its divisors is an integer number (5738876).

Almost surely, 2^121012032 is an apocalyptic number.

121012032 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 121012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160688528).

121012032 is an abundant number, since it is smaller than the sum of its proper divisors (200365024).

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

121012032 is a wasteful number, since it uses less digits than its factorization.

121012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121012032 is about 11000.5468954957. The cubic root of 121012032 is about 494.6251380857.

Adding to 121012032 its reverse (230210121), we get a palindrome (351222153).

The spelling of 121012032 in words is "one hundred twenty-one million, twelve thousand, thirty-two".