1201535040 has 112 divisors (see below), whose sum is σ = 3918094272. Its totient is φ = 311740416.

The previous prime is 1201535033. The next prime is 1201535057. The reversal of 1201535040 is 405351021.

It is a junction number, because it is equal to n+sod(n) for n = 1201534998 and 1201535016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18607 + ... + 52433.

Almost surely, 2^1201535040 is an apocalyptic number.

1201535040 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 1201535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959047136).

1201535040 is an abundant number, since it is smaller than the sum of its proper divisors (2716559232).

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

1201535040 is a wasteful number, since it uses less digits than its factorization.

1201535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33884 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1201535040 is about 34663.1654642215. The cubic root of 1201535040 is about 1063.1114937244. Note that the first 3 decimals are identical.

Adding to 1201535040 its reverse (405351021), we get a palindrome (1606886061).

The spelling of 1201535040 in words is "one billion, two hundred one million, five hundred thirty-five thousand, forty".