121835280 has 160 divisors (see below), whose sum is σ = 441114624. Its totient is φ = 27237888.

The previous prime is 121835257. The next prime is 121835309. The reversal of 121835280 is 82538121.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 78189 + ... + 79731.

Almost surely, 2^121835280 is an apocalyptic number.

121835280 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 121835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220557312).

121835280 is an abundant number, since it is smaller than the sum of its proper divisors (319279344).

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

121835280 is a wasteful number, since it uses less digits than its factorization.

121835280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 121835280 is about 11037.9019745602. The cubic root of 121835280 is about 495.7442533441.

The spelling of 121835280 in words is "one hundred twenty-one million, eight hundred thirty-five thousand, two hundred eighty".