121526320 has 40 divisors (see below), whose sum is σ = 285209424. Its totient is φ = 48152832.

The previous prime is 121526311. The next prime is 121526347. The reversal of 121526320 is 23625121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×121526320³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121526291 and 121526300.

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 7 ways as a sum of consecutive naturals, for example, 1462 + ... + 15658.

Almost surely, 2^121526320 is an apocalyptic number.

121526320 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 121526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142604712).

121526320 is an abundant number, since it is smaller than the sum of its proper divisors (163683104).

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

121526320 is a wasteful number, since it uses less digits than its factorization.

121526320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14317 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 121526320 is about 11023.8976773190. The cubic root of 121526320 is about 495.3248488365.

The spelling of 121526320 in words is "one hundred twenty-one million, five hundred twenty-six thousand, three hundred twenty".