1205551226880 has 2688 divisors, whose sum is σ = 5866852432896. Its totient is φ = 231234600960.

The previous prime is 1205551226857. The next prime is 1205551226897. The reversal of 1205551226880 is 886221555021.

1205551226880 is a `hidden beast` number, since 1 + 2 + 0 + 55 + 512 + 2 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17160 × 16632 × 4224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92734709754 + ... + 92734709766.

It is an arithmetic number, because the mean of its divisors is an integer number (2182608792).

Almost surely, 2^{1205551226880} is an apocalyptic number.

1205551226880 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 1205551226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933426216448).

1205551226880 is an abundant number, since it is smaller than the sum of its proper divisors (4661301206016).

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

1205551226880 is an frugal number, since it uses more digits than its factorization.

1205551226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 1205551226880 in words is "one trillion, two hundred five billion, five hundred fifty-one million, two hundred twenty-six thousand, eight hundred eighty".