35113120 has 96 divisors (see below), whose sum is σ = 96018048. Its totient is φ = 11885568.

The previous prime is 35113093. The next prime is 35113123. The reversal of 35113120 is 2131153.

It is a super-2 number, since 2×35113120² = 2465862392268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 35113094 and 35113103.

It is not an unprimeable number, because it can be changed into a prime (35113123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119694 + ... + 119986.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 2^35113120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

35113120 is an abundant number, since it is smaller than the sum of its proper divisors (60904928).

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

35113120 is a wasteful number, since it uses less digits than its factorization.

35113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 35113120 is about 5925.6324556962. The cubic root of 35113120 is about 327.4586549209.

Adding to 35113120 its reverse (2131153), we get a palindrome (37244273).

The spelling of 35113120 in words is "thirty-five million, one hundred thirteen thousand, one hundred twenty".