1121404412310 has 256 divisors, whose sum is σ = 3543478493184. Its totient is φ = 220389507072.

The previous prime is 1121404412299. The next prime is 1121404412339. The reversal of 1121404412310 is 132144041211.

It is a happy number.

It is a super-2 number, since 2×1121404412310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4377219 + ... + 4626321.

It is an arithmetic number, because the mean of its divisors is an integer number (13841712864).

Almost surely, 2^{1121404412310} is an apocalyptic number.

1121404412310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121404412310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771739246592).

1121404412310 is an abundant number, since it is smaller than the sum of its proper divisors (2422074080874).

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

1121404412310 is a wasteful number, since it uses less digits than its factorization.

1121404412310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249247.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1121404412310 its reverse (132144041211), we get a palindrome (1253548453521).

The spelling of 1121404412310 in words is "one trillion, one hundred twenty-one billion, four hundred four million, four hundred twelve thousand, three hundred ten".