121352352 has 144 divisors (see below), whose sum is σ = 362509056. Its totient is φ = 35481600.

The previous prime is 121352339. The next prime is 121352369. The reversal of 121352352 is 253253121.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 359928 + ... + 360264.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2^121352352 is an apocalyptic number.

121352352 is a gapful number since it is divisible by the number (12) 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 121352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

121352352 is an abundant number, since it is smaller than the sum of its proper divisors (241156704).

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

121352352 is a wasteful number, since it uses less digits than its factorization.

121352352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 121352352 is about 11016.0043572976. The cubic root of 121352352 is about 495.0883792812.

The spelling of 121352352 in words is "one hundred twenty-one million, three hundred fifty-two thousand, three hundred fifty-two".