121123296 has 144 divisors (see below), whose sum is σ = 411097680. Its totient is φ = 34594560.

The previous prime is 121123273. The next prime is 121123297. The reversal of 121123296 is 692321121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 (121123297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40906 + ... + 43766.

It is an arithmetic number, because the mean of its divisors is an integer number (2854845).

Almost surely, 2^121123296 is an apocalyptic number.

121123296 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 121123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205548840).

121123296 is an abundant number, since it is smaller than the sum of its proper divisors (289974384).

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

121123296 is a wasteful number, since it uses less digits than its factorization.

121123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2873 counting only the distinct ones).

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

The square root of 121123296 is about 11005.6029366864. The cubic root of 121123296 is about 494.7766853110.

The spelling of 121123296 in words is "one hundred twenty-one million, one hundred twenty-three thousand, two hundred ninety-six".