1121137303104 has 672 divisors, whose sum is σ = 4118182548480. Its totient is φ = 283716255744.

The previous prime is 1121137303093. The next prime is 1121137303171. The reversal of 1121137303104 is 4013037311211.

1121137303104 is a `hidden beast` number, since 1 + 121 + 137 + 303 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1121137303104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141571657 + ... + 141579575.

It is an arithmetic number, because the mean of its divisors is an integer number (6128247840).

Almost surely, 2^{1121137303104} is an apocalyptic number.

1121137303104 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 1121137303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059091274240).

1121137303104 is an abundant number, since it is smaller than the sum of its proper divisors (2997045245376).

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

1121137303104 is a wasteful number, since it uses less digits than its factorization.

1121137303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

It can be divided in two parts, 1121137 and 303104, that added together give a palindrome (1424241).

The spelling of 1121137303104 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-seven million, three hundred three thousand, one hundred four".