1123824101140 has 48 divisors (see below), whose sum is σ = 2542243728528. Its totient is φ = 414840674304.

The previous prime is 1123824101123. The next prime is 1123824101161. The reversal of 1123824101140 is 411014283211.

It can be written as a sum of positive squares in 8 ways, for example, as 21349300996 + 1102474800144 = 146114^2 + 1049988^2 .

It is a super-2 number, since 2×1123824101140² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123824101099 and 1123824101108.

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 15 ways as a sum of consecutive naturals, for example, 416394 + ... + 1555966.

It is an arithmetic number, because the mean of its divisors is an integer number (52963411011).

Almost surely, 2^{1123824101140} is an apocalyptic number.

1123824101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123824101140 is an abundant number, since it is smaller than the sum of its proper divisors (1418419627388).

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

1123824101140 is a wasteful number, since it uses less digits than its factorization.

1123824101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143388 (or 1143386 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 1123824101140 its reverse (411014283211), we get a palindrome (1534838384351).

The spelling of 1123824101140 in words is "one trillion, one hundred twenty-three billion, eight hundred twenty-four million, one hundred one thousand, one hundred forty".