121009344 has 112 divisors (see below), whose sum is σ = 336011520. Its totient is φ = 38384640.

The previous prime is 121009321. The next prime is 121009363. The reversal of 121009344 is 443900121.

It is a super-2 number, since 2×121009344² = 29286522670620672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 573399 + ... + 573609.

Almost surely, 2^121009344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168005760).

121009344 is an abundant number, since it is smaller than the sum of its proper divisors (215002176).

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

121009344 is a wasteful number, since it uses less digits than its factorization.

121009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 121009344 is about 11000.4247190734. The cubic root of 121009344 is about 494.6214757440.

Adding to 121009344 its reverse (443900121), we get a palindrome (564909465).

The spelling of 121009344 in words is "one hundred twenty-one million, nine thousand, three hundred forty-four".