1205251015000 has 160 divisors (see below), whose sum is σ = 2919853347840. Its totient is φ = 465771600000.

The previous prime is 1205251014991. The next prime is 1205251015013. The reversal of 1205251015000 is 5101525021.

It is a happy number.

It is a super-3 number, since 3×1205251015000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 97798839 + ... + 97811161.

It is an arithmetic number, because the mean of its divisors is an integer number (18249083424).

Almost surely, 2^{1205251015000} is an apocalyptic number.

1205251015000 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 1205251015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459926673920).

1205251015000 is an abundant number, since it is smaller than the sum of its proper divisors (1714602332840).

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

1205251015000 is a wasteful number, since it uses less digits than its factorization.

1205251015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 12992 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 1205251015000 in words is "one trillion, two hundred five billion, two hundred fifty-one million, fifteen thousand".