121577280 has 224 divisors, whose sum is σ = 436717440. Its totient is φ = 28385280.

The previous prime is 121577279. The next prime is 121577317. The reversal of 121577280 is 82775121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306042 + ... + 306438.

Almost surely, 2^121577280 is an apocalyptic number.

121577280 is a gapful number since it is divisible by the number (10) 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 121577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218358720).

121577280 is an abundant number, since it is smaller than the sum of its proper divisors (315140160).

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

121577280 is a wasteful number, since it uses less digits than its factorization.

121577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 121577280 is about 11026.2087772724. The cubic root of 121577280 is about 495.3940745177.

The spelling of 121577280 in words is "one hundred twenty-one million, five hundred seventy-seven thousand, two hundred eighty".