1201105016064 has 54 divisors (see below), whose sum is σ = 3463081873706. Its totient is φ = 400368337920.

The previous prime is 1201105016017. The next prime is 1201105016071. The reversal of 1201105016064 is 4606105011021.

1201105016064 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 0 + 50 + 1 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1055632953600 + 145472062464 = 1027440^2 + 381408^2 .

It is a super-2 number, since 2×1201105016064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260654167 + ... + 260658774.

Almost surely, 2^{1201105016064} is an apocalyptic number.

It is an amenable number.

1201105016064 is an abundant number, since it is smaller than the sum of its proper divisors (2261976857642).

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

1201105016064 is an equidigital number, since it uses as much as digits as its factorization.

1201105016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521312963 (or 521312946 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1201105016064 in words is "one trillion, two hundred one billion, one hundred five million, sixteen thousand, sixty-four".