121140096 has 256 divisors, whose sum is σ = 426539520. Its totient is φ = 29491200.

The previous prime is 121140091. The next prime is 121140121. The reversal of 121140096 is 690041121.

It is a super-3 number, since 3×121140096³ (a number of 25 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121140091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502536 + ... + 502776.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 2^121140096 is an apocalyptic number.

121140096 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 121140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269760).

121140096 is an abundant number, since it is smaller than the sum of its proper divisors (305399424).

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

121140096 is a wasteful number, since it uses less digits than its factorization.

121140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121140096 is about 11006.3661578198. The cubic root of 121140096 is about 494.7995596997.

The spelling of 121140096 in words is "one hundred twenty-one million, one hundred forty thousand, ninety-six".