1122103010400 has 144 divisors (see below), whose sum is σ = 3653098218000. Its totient is φ = 299173980160.

The previous prime is 1122103010383. The next prime is 1122103010417. The reversal of 1122103010400 is 40103012211.

It is an interprime number because it is at equal distance from previous prime (1122103010383) and next prime (1122103010417).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122103010400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14430826 + ... + 14508374.

It is an arithmetic number, because the mean of its divisors is an integer number (25368737625).

Almost surely, 2^{1122103010400} is an apocalyptic number.

1122103010400 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 1122103010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826549109000).

1122103010400 is an abundant number, since it is smaller than the sum of its proper divisors (2530995207600).

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

1122103010400 is a wasteful number, since it uses less digits than its factorization.

1122103010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83601 (or 83588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1122103010400 its reverse (40103012211), we get a palindrome (1162206022611).

It can be divided in two parts, 11221030 and 10400, that added together give a triangular number (11231430 = T₄₇₃₉).

The spelling of 1122103010400 in words is "one trillion, one hundred twenty-two billion, one hundred three million, ten thousand, four hundred".