1205611145200 has 120 divisors (see below), whose sum is σ = 3611196904320. Its totient is φ = 375774892800.

The previous prime is 1205611145153. The next prime is 1205611145209. The reversal of 1205611145200 is 25411165021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205611145209) 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 23 ways as a sum of consecutive naturals, for example, 19540810 + ... + 19602409.

It is an arithmetic number, because the mean of its divisors is an integer number (30093307536).

Almost surely, 2^{1205611145200} is an apocalyptic number.

1205611145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205611145200 is an abundant number, since it is smaller than the sum of its proper divisors (2405585759120).

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

1205611145200 is a wasteful number, since it uses less digits than its factorization.

1205611145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39143255 (or 39143244 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 1205611145200 in words is "one trillion, two hundred five billion, six hundred eleven million, one hundred forty-five thousand, two hundred".