121252320 has 288 divisors, whose sum is σ = 494387712. Its totient is φ = 26459136.

The previous prime is 121252291. The next prime is 121252337. The reversal of 121252320 is 23252121.

Added to its reverse (23252121) it gives a square (144504441 = 12021²).

121252320 is a `hidden beast` number, since 121 + 2 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×121252320³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121252293 and 121252302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 231579 + ... + 232101.

It is an arithmetic number, because the mean of its divisors is an integer number (1716624).

Almost surely, 2^121252320 is an apocalyptic number.

121252320 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 121252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247193856).

121252320 is an abundant number, since it is smaller than the sum of its proper divisors (373135392).

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

121252320 is a wasteful number, since it uses less digits than its factorization.

121252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121252320 is about 11011.4631180420. The cubic root of 121252320 is about 494.9523063935.

Adding to 121252320 its reverse (23252121), we get a square (144504441 = 12021²).

The spelling of 121252320 in words is "one hundred twenty-one million, two hundred fifty-two thousand, three hundred twenty".