121120128 has 96 divisors (see below), whose sum is σ = 356110560. Its totient is φ = 39496704.

The previous prime is 121120123. The next prime is 121120133. The reversal of 121120128 is 821021121.

It is an interprime number because it is at equal distance from previous prime (121120123) and next prime (121120133).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 121120128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53026 + ... + 55262.

It is an arithmetic number, because the mean of its divisors is an integer number (3709485).

Almost surely, 2^121120128 is an apocalyptic number.

121120128 is a gapful number since it is divisible by the number (18) 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 121120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178055280).

121120128 is an abundant number, since it is smaller than the sum of its proper divisors (234990432).

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

121120128 is a wasteful number, since it uses less digits than its factorization.

121120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 121120128 is about 11005.4590090555. The cubic root of 121120128 is about 494.7723716179.

Adding to 121120128 its reverse (821021121), we get a palindrome (942141249).

The spelling of 121120128 in words is "one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-eight".