121083520 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 43991040.

The previous prime is 121083511. The next prime is 121083533. The reversal of 121083520 is 25380121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×121083520² = 29322437631180800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121083491 and 121083500.

It is an unprimeable number.

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, 337101 + ... + 337459.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^121083520 is an apocalyptic number.

121083520 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 121083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

121083520 is an abundant number, since it is smaller than the sum of its proper divisors (196177280).

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

121083520 is a wasteful number, since it uses less digits than its factorization.

121083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 121083520 is about 11003.7957087543. The cubic root of 121083520 is about 494.7225190392.

The spelling of 121083520 in words is "one hundred twenty-one million, eighty-three thousand, five hundred twenty".