1035141120 has 408 divisors, whose sum is σ = 4007626896. Its totient is φ = 254803968.

The previous prime is 1035141091. The next prime is 1035141127. The reversal of 1035141120 is 211415301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1035141093 and 1035141102.

It is not an unprimeable number, because it can be changed into a prime (1035141127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79626234 + ... + 79626246.

Almost surely, 2^1035141120 is an apocalyptic number.

1035141120 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 1035141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003813448).

1035141120 is an abundant number, since it is smaller than the sum of its proper divisors (2972485776).

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

1035141120 is an frugal number, since it uses more digits than its factorization.

1035141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1035141120 is about 32173.6090608436. The cubic root of 1035141120 is about 1011.5791133084.

Adding to 1035141120 its reverse (211415301), we get a palindrome (1246556421).

The spelling of 1035141120 in words is "one billion, thirty-five million, one hundred forty-one thousand, one hundred twenty".