1201006508544 has 120 divisors (see below), whose sum is σ = 3585710159460. Its totient is φ = 386530787328.

The previous prime is 1201006508539. The next prime is 1201006508567. The reversal of 1201006508544 is 4458056001021.

It is a happy number.

1201006508544 is a `hidden beast` number, since 1 + 2 + 0 + 100 + 6 + 5 + 0 + 8 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1200970508544 + 36000000 = 1095888^2 + 6000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1201006508499 and 1201006508508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4360077 + ... + 4627340.

Almost surely, 2^{1201006508544} is an apocalyptic number.

It is an amenable number.

1201006508544 is an abundant number, since it is smaller than the sum of its proper divisors (2384703650916).

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

1201006508544 is an equidigital number, since it uses as much as digits as its factorization.

1201006508544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987470 (or 8987451 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1201006508544 in words is "one trillion, two hundred one billion, six million, five hundred eight thousand, five hundred forty-four".