1201062564900 has 891 divisors, whose sum is σ = 4404514123219. Its totient is φ = 284065056000.

The previous prime is 1201062564847. The next prime is 1201062564907. The reversal of 1201062564900 is 94652601021.

The square root of 1201062564900 is 1095930.

It is a perfect power (a square), and thus also a powerful number.

1201062564900 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 6 + 2 + 5 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 505546596324 + 695515968576 = 711018^2 + 833976^2 .

It is a tau number, because it is divible by the number of its divisors (891).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201062564907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 29294208880 + ... + 29294208920.

Almost surely, 2^{1201062564900} is an apocalyptic number.

1201062564900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201062564900 is the 1095930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201062564900

1201062564900 is an abundant number, since it is smaller than the sum of its proper divisors (3203451558319).

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

1201062564900 is an equidigital number, since it uses as much as digits as its factorization.

1201062564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 1201062564900 by its sum of digits (36), we get a square (43238252336400 = 6575580²).

1201062564900 divided by its sum of digits (36) gives a square (33362849025 = 182655²).

The spelling of 1201062564900 in words is "one trillion, two hundred one billion, sixty-two million, five hundred sixty-four thousand, nine hundred".