1205005050072 has 96 divisors (see below), whose sum is σ = 3408569470800. Its totient is φ = 384188458752.

The previous prime is 1205005050071. The next prime is 1205005050101. The reversal of 1205005050072 is 2700505005021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205005050071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3676123 + ... + 3990474.

Almost surely, 2^{1205005050072} is an apocalyptic number.

1205005050072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205005050072 is an abundant number, since it is smaller than the sum of its proper divisors (2203564420728).

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

1205005050072 is a wasteful number, since it uses less digits than its factorization.

1205005050072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666705 (or 7666698 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 1205005050072 in words is "one trillion, two hundred five billion, five million, fifty thousand, seventy-two".