1121122033400 has 96 divisors (see below), whose sum is σ = 2615367204000. Its totient is φ = 446943467520.

The previous prime is 1121122033349. The next prime is 1121122033403. The reversal of 1121122033400 is 43302211211.

It is a super-2 number, since 2×1121122033400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121122033403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170665316 + ... + 170671884.

It is an arithmetic number, because the mean of its divisors is an integer number (27243408375).

Almost surely, 2^{1121122033400} is an apocalyptic number.

1121122033400 is a gapful number since it is divisible by the number (10) 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 1121122033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307683602000).

1121122033400 is an abundant number, since it is smaller than the sum of its proper divisors (1494245170600).

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

1121122033400 is a wasteful number, since it uses less digits than its factorization.

1121122033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1121122033400 its reverse (43302211211), we get a palindrome (1164424244611).

The spelling of 1121122033400 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, thirty-three thousand, four hundred".