1100042120 has 64 divisors (see below), whose sum is σ = 2625378480. Its totient is φ = 413392896.

The previous prime is 1100042063. The next prime is 1100042131. The reversal of 1100042120 is 212400011.

It can be written as a sum of positive squares in 8 ways, for example, as 388326436 + 711715684 = 19706^2 + 26678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513692 + ... + 515828.

Almost surely, 2^1100042120 is an apocalyptic number.

1100042120 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 1100042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312689240).

1100042120 is an abundant number, since it is smaller than the sum of its proper divisors (1525336360).

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

1100042120 is a wasteful number, since it uses less digits than its factorization.

1100042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1100042120 is about 33166.8828803673. The cubic root of 1100042120 is about 1032.2932909362.

Adding to 1100042120 its reverse (212400011), we get a palindrome (1312442131).

The spelling of 1100042120 in words is "one billion, one hundred million, forty-two thousand, one hundred twenty".