13535412120 has 128 divisors (see below), whose sum is σ = 45166392000. Its totient is φ = 3605575680.

The previous prime is 13535412101. The next prime is 13535412131. The reversal of 13535412120 is 2121453531.

13535412120 is a `hidden beast` number, since 1 + 3 + 535 + 4 + 1 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083510 + ... + 1095930.

Almost surely, 2^13535412120 is an apocalyptic number.

13535412120 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 13535412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22583196000).

13535412120 is an abundant number, since it is smaller than the sum of its proper divisors (31630979880).

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

13535412120 is a wasteful number, since it uses less digits than its factorization.

13535412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13535412120 its reverse (2121453531), we get a palindrome (15656865651).

The spelling of 13535412120 in words is "thirteen billion, five hundred thirty-five million, four hundred twelve thousand, one hundred twenty".