1124142444100 has 144 divisors (see below), whose sum is σ = 2656088499456. Its totient is φ = 410500224000.

The previous prime is 1124142444079. The next prime is 1124142444101. The reversal of 1124142444100 is 14442414211.

It is not an unprimeable number, because it can be changed into a prime (1124142444101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48253455 + ... + 48276745.

It is an arithmetic number, because the mean of its divisors is an integer number (18445059024).

Almost surely, 2^{1124142444100} is an apocalyptic number.

1124142444100 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 1124142444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328044249728).

1124142444100 is an abundant number, since it is smaller than the sum of its proper divisors (1531946055356).

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

1124142444100 is a wasteful number, since it uses less digits than its factorization.

1124142444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23726 (or 23719 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1124142444100 its reverse (14442414211), we get a palindrome (1138584858311).

The spelling of 1124142444100 in words is "one trillion, one hundred twenty-four billion, one hundred forty-two million, four hundred forty-four thousand, one hundred".