121029328 has 80 divisors (see below), whose sum is σ = 276160896. Its totient is φ = 50319360.

The previous prime is 121029323. The next prime is 121029329. The reversal of 121029328 is 823920121.

It is a super-2 number, since 2×121029328² = 29296196472263168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 121029296 and 121029305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121029323) 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 15 ways as a sum of consecutive naturals, for example, 923823 + ... + 923953.

Almost surely, 2^121029328 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 121029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138080448).

121029328 is an abundant number, since it is smaller than the sum of its proper divisors (155131568).

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

121029328 is a wasteful number, since it uses less digits than its factorization.

121029328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 121029328 is about 11001.3330101402. Note that the first 3 decimals coincide. The cubic root of 121029328 is about 494.6487022131.

Adding to 121029328 its reverse (823920121), we get a palindrome (944949449).

The spelling of 121029328 in words is "one hundred twenty-one million, twenty-nine thousand, three hundred twenty-eight".