1142411100 has 288 divisors, whose sum is σ = 3666432000. Its totient is φ = 273611520.

The previous prime is 1142411063. The next prime is 1142411107. The reversal of 1142411100 is 11142411.

1142411100 = T₄₃₂ + T₄₃₃ + ... + T₁₉₀₆.

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 1142411100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142411107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14460861 + ... + 14460939.

Almost surely, 2^1142411100 is an apocalyptic number.

1142411100 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 1142411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833216000).

1142411100 is an abundant number, since it is smaller than the sum of its proper divisors (2524020900).

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

1142411100 is a wasteful number, since it uses less digits than its factorization.

1142411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1142411100 is about 33799.5724825034. The cubic root of 1142411100 is about 1045.3798821858.

Adding to 1142411100 its reverse (11142411), we get a palindrome (1153553511).

The spelling of 1142411100 in words is "one billion, one hundred forty-two million, four hundred eleven thousand, one hundred".