121023120 has 80 divisors (see below), whose sum is σ = 383189760. Its totient is φ = 31583232.

The previous prime is 121023083. The next prime is 121023143. The reversal of 121023120 is 21320121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121023096 and 121023105.

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, 5916 + ... + 16644.

It is an arithmetic number, because the mean of its divisors is an integer number (4789872).

Almost surely, 2^121023120 is an apocalyptic number.

121023120 is a gapful number since it is divisible by the number (10) 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 121023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191594880).

121023120 is an abundant number, since it is smaller than the sum of its proper divisors (262166640).

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

121023120 is a wasteful number, since it uses less digits than its factorization.

121023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121023120 is about 11001.0508588953. The cubic root of 121023120 is about 494.6402446717.

Adding to 121023120 its reverse (21320121), we get a palindrome (142343241).

The spelling of 121023120 in words is "one hundred twenty-one million, twenty-three thousand, one hundred twenty".