1201530274560 has 2304 divisors, whose sum is σ = 5648990699520. Its totient is φ = 234446192640.

The previous prime is 1201530274547. The next prime is 1201530274577. The reversal of 1201530274560 is 654720351021.

1201530274560 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 530 + 2 + 74 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4100785774 + ... + 4100786066.

It is an arithmetic number, because the mean of its divisors is an integer number (2451818880).

Almost surely, 2^{1201530274560} is an apocalyptic number.

1201530274560 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 1201530274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824495349760).

1201530274560 is an abundant number, since it is smaller than the sum of its proper divisors (4447460424960).

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

1201530274560 is a wasteful number, since it uses less digits than its factorization.

1201530274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1201530274560 in words is "one trillion, two hundred one billion, five hundred thirty million, two hundred seventy-four thousand, five hundred sixty".