1206101546624 has 128 divisors (see below), whose sum is σ = 2678562432000. Its totient is φ = 537196584960.

The previous prime is 1206101546623. The next prime is 1206101546627. The reversal of 1206101546624 is 4266451016021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1206101546621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18486092 + ... + 18551220.

It is an arithmetic number, because the mean of its divisors is an integer number (20926269000).

Almost surely, 2^{1206101546624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206101546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339281216000).

1206101546624 is an abundant number, since it is smaller than the sum of its proper divisors (1472460885376).

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

1206101546624 is a wasteful number, since it uses less digits than its factorization.

1206101546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65546 (or 65534 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1206101546624 in words is "one trillion, two hundred six billion, one hundred one million, five hundred forty-six thousand, six hundred twenty-four".