361113120 has 96 divisors (see below), whose sum is σ = 1263911040. Its totient is φ = 96295680.

The previous prime is 361113101. The next prime is 361113121. The reversal of 361113120 is 21311163.

361113120 is a `hidden beast` number, since 3 + 611 + 1 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×361113120² = 260805370872268800, which contains 22 as substring.

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 = 361113093 and 361113102.

It is not an unprimeable number, because it can be changed into a prime (361113121) 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, 37476 + ... + 46115.

It is an arithmetic number, because the mean of its divisors is an integer number (13165740).

Almost surely, 2^361113120 is an apocalyptic number.

361113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361113120 is an abundant number, since it is smaller than the sum of its proper divisors (902797920).

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

361113120 is a wasteful number, since it uses less digits than its factorization.

361113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83615 (or 83601 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 361113120 is about 19002.9766089421. The cubic root of 361113120 is about 712.1111007877. Note that the first 4 decimals are identical.

Adding to 361113120 its reverse (21311163), we get a palindrome (382424283).

The spelling of 361113120 in words is "three hundred sixty-one million, one hundred thirteen thousand, one hundred twenty".