121955328 has 176 divisors, whose sum is σ = 394989120. Its totient is φ = 36864000.

The previous prime is 121955321. The next prime is 121955341. The reversal of 121955328 is 823559121.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121955292 and 121955301.

It is not an unprimeable number, because it can be changed into a prime (121955321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303928 + ... + 304328.

Almost surely, 2^121955328 is an apocalyptic number.

121955328 is a gapful number since it is divisible by the number (18) 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 121955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197494560).

121955328 is an abundant number, since it is smaller than the sum of its proper divisors (273033792).

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

121955328 is a wasteful number, since it uses less digits than its factorization.

121955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 121955328 is about 11043.3386256150. The cubic root of 121955328 is about 495.9070238490.

The spelling of 121955328 in words is "one hundred twenty-one million, nine hundred fifty-five thousand, three hundred twenty-eight".