1244134100 has 108 divisors (see below), whose sum is σ = 2987113500. Its totient is φ = 449433600.

The previous prime is 1244134091. The next prime is 1244134123. The reversal of 1244134100 is 14314421.

It can be written as a sum of positive squares in 6 ways, for example, as 37405456 + 1206728644 = 6116^2 + 34738^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 2770676 + ... + 2771124.

Almost surely, 2^1244134100 is an apocalyptic number.

1244134100 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 1244134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493556750).

1244134100 is an abundant number, since it is smaller than the sum of its proper divisors (1742979400).

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

1244134100 is a wasteful number, since it uses less digits than its factorization.

1244134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1244134100 is about 35272.2851542114. The cubic root of 1244134100 is about 1075.5296758771.

Adding to 1244134100 its reverse (14314421), we get a palindrome (1258448521).

The spelling of 1244134100 in words is "one billion, two hundred forty-four million, one hundred thirty-four thousand, one hundred".