121147296 has 96 divisors (see below), whose sum is σ = 328950720. Its totient is φ = 39020544.

The previous prime is 121147283. The next prime is 121147307. The reversal of 121147296 is 692741121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121147296² = 29353334656223232, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 413326 + ... + 413618.

It is an arithmetic number, because the mean of its divisors is an integer number (3426570).

Almost surely, 2^121147296 is an apocalyptic number.

121147296 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 121147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164475360).

121147296 is an abundant number, since it is smaller than the sum of its proper divisors (207803424).

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

121147296 is a wasteful number, since it uses less digits than its factorization.

121147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 121147296 is about 11006.6932363903. The cubic root of 121147296 is about 494.8093623617.

The spelling of 121147296 in words is "one hundred twenty-one million, one hundred forty-seven thousand, two hundred ninety-six".