1201105335330 has 112 divisors (see below), whose sum is σ = 3243108984120. Its totient is φ = 320135929344.

The previous prime is 1201105335293. The next prime is 1201105335347. The reversal of 1201105335330 is 335335011021.

1201105335330 is a `hidden beast` number, since 1 + 20 + 1 + 105 + 3 + 3 + 533 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670569367689 + 530535967641 = 818883^2 + 728379^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1201105335294 and 1201105335303.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15043194 + ... + 15122826.

Almost surely, 2^{1201105335330} is an apocalyptic number.

1201105335330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201105335330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621554492060).

1201105335330 is an abundant number, since it is smaller than the sum of its proper divisors (2042003648790).

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

1201105335330 is an equidigital number, since it uses as much as digits as its factorization.

1201105335330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81727 (or 81712 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 1201105335330 in words is "one trillion, two hundred one billion, one hundred five million, three hundred thirty-five thousand, three hundred thirty".