1235013120 has 360 divisors, whose sum is σ = 4711995288. Its totient is φ = 298721280.

The previous prime is 1235013119. The next prime is 1235013133. The reversal of 1235013120 is 213105321.

1235013120 is a `hidden beast` number, since 1 + 2 + 350 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 1235013093 and 1235013102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787619 + ... + 2788061.

Almost surely, 2^1235013120 is an apocalyptic number.

1235013120 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 1235013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355997644).

1235013120 is an abundant number, since it is smaller than the sum of its proper divisors (3476982168).

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

1235013120 is a wasteful number, since it uses less digits than its factorization.

1235013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1235013120 is about 35142.7534493244. The cubic root of 1235013120 is about 1072.8949235941.

Adding to 1235013120 its reverse (213105321), we get a palindrome (1448118441).

It can be divided in two parts, 123501 and 3120, that added together give a palindrome (126621).

The spelling of 1235013120 in words is "one billion, two hundred thirty-five million, thirteen thousand, one hundred twenty".