1121998406144 has 480 divisors, whose sum is σ = 2970849353472. Its totient is φ = 418209792000.

The previous prime is 1121998406141. The next prime is 1121998406147. The reversal of 1121998406144 is 4416048991211.

It is an interprime number because it is at equal distance from previous prime (1121998406141) and next prime (1121998406147).

It is a junction number, because it is equal to n+sod(n) for n = 1121998406092 and 1121998406101.

It is not an unprimeable number, because it can be changed into a prime (1121998406141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599677529 + ... + 599679399.

Almost surely, 2^{1121998406144} is an apocalyptic number.

1121998406144 is a gapful number since it is divisible by the number (14) 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 1121998406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485424676736).

1121998406144 is an abundant number, since it is smaller than the sum of its proper divisors (1848850947328).

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

1121998406144 is a wasteful number, since it uses less digits than its factorization.

1121998406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 1121998406144 in words is "one trillion, one hundred twenty-one billion, nine hundred ninety-eight million, four hundred six thousand, one hundred forty-four".