1121086267830 has 96 divisors (see below), whose sum is σ = 3072912583104. Its totient is φ = 283010162688.

The previous prime is 1121086267813. The next prime is 1121086267837. The reversal of 1121086267830 is 387626801211.

1121086267830 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 8 + 626 + 7 + 8 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121086267837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2590899 + ... + 2992478.

It is an arithmetic number, because the mean of its divisors is an integer number (32009506074).

Almost surely, 2^{1121086267830} is an apocalyptic number.

1121086267830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1121086267830 is an abundant number, since it is smaller than the sum of its proper divisors (1951826315274).

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

1121086267830 is a wasteful number, since it uses less digits than its factorization.

1121086267830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583510 (or 5583507 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1121086267830 in words is "one trillion, one hundred twenty-one billion, eighty-six million, two hundred sixty-seven thousand, eight hundred thirty".