121123021013120 has 256 divisors, whose sum is σ = 333708107489280. Its totient is φ = 41179945205760.

The previous prime is 121123021013089. The next prime is 121123021013123. The reversal of 121123021013120 is 21310120321121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121123021013092 and 121123021013101.

It is not an unprimeable number, because it can be changed into a prime (121123021013123) 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, 296636300 + ... + 297044340.

It is an arithmetic number, because the mean of its divisors is an integer number (1303547294880).

Almost surely, 2^{121123021013120} is an apocalyptic number.

121123021013120 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 121123021013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166854053744640).

121123021013120 is an abundant number, since it is smaller than the sum of its proper divisors (212585086476160).

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

121123021013120 is a wasteful number, since it uses less digits than its factorization.

121123021013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408623 (or 408611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121123021013120 its reverse (21310120321121), we get a palindrome (142433141334241).

The spelling of 121123021013120 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, twenty-one million, thirteen thousand, one hundred twenty".