121310496 has 72 divisors (see below), whose sum is σ = 346171644. Its totient is φ = 40296960.

The previous prime is 121310489. The next prime is 121310503. The reversal of 121310496 is 694013121.

It is an interprime number because it is at equal distance from previous prime (121310489) and next prime (121310503).

It can be written as a sum of positive squares in 2 ways, for example, as 117939600 + 3370896 = 10860^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113806 + ... + 114866.

Almost surely, 2^121310496 is an apocalyptic number.

121310496 is a gapful number since it is divisible by the number (16) 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 121310496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173085822).

121310496 is an abundant number, since it is smaller than the sum of its proper divisors (224861148).

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

121310496 is a wasteful number, since it uses less digits than its factorization.

121310496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 121310496 is about 11014.1044120709. The cubic root of 121310496 is about 495.0314519348.

The spelling of 121310496 in words is "one hundred twenty-one million, three hundred ten thousand, four hundred ninety-six".