1121137885504 has 336 divisors, whose sum is σ = 2806723148544. Its totient is φ = 432643276800.

The previous prime is 1121137885493. The next prime is 1121137885529. The reversal of 1121137885504 is 4055887311211.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6713400429 + ... + 6713400595.

It is an arithmetic number, because the mean of its divisors is an integer number (8353342704).

Almost surely, 2^{1121137885504} is an apocalyptic number.

1121137885504 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 1121137885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403361574272).

1121137885504 is an abundant number, since it is smaller than the sum of its proper divisors (1685585263040).

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

1121137885504 is a wasteful number, since it uses less digits than its factorization.

1121137885504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 46.

The spelling of 1121137885504 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-seven million, eight hundred eighty-five thousand, five hundred four".