121112000420240 has 160 divisors (see below), whose sum is σ = 299122882097760. Its totient is φ = 45533188915200.

The previous prime is 121112000420231. The next prime is 121112000420251. The reversal of 121112000420240 is 42024000211121.

It can be written as a sum of positive squares in 16 ways, for example, as 31120822588816 + 89991177831424 = 5578604^2 + 9486368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9316130 + ... + 18138750.

It is an arithmetic number, because the mean of its divisors is an integer number (1869518013111).

Almost surely, 2^{121112000420240} is an apocalyptic number.

121112000420240 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 121112000420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149561441048880).

121112000420240 is an abundant number, since it is smaller than the sum of its proper divisors (178010881677520).

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

121112000420240 is a wasteful number, since it uses less digits than its factorization.

121112000420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822821 (or 8822815 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121112000420240 its reverse (42024000211121), we get a palindrome (163136000631361).

The spelling of 121112000420240 in words is "one hundred twenty-one trillion, one hundred twelve billion, four hundred twenty thousand, two hundred forty".