1252111890960 has 1280 divisors, whose sum is σ = 5448794112000. Its totient is φ = 257832253440.

The previous prime is 1252111890947. The next prime is 1252111890977. The reversal of 1252111890960 is 690981112521.

1252111890960 is a `hidden beast` number, since 1 + 2 + 521 + 118 + 9 + 0 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 525433929 + ... + 525436311.

It is an arithmetic number, because the mean of its divisors is an integer number (4256870400).

Almost surely, 2^{1252111890960} is an apocalyptic number.

1252111890960 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 1252111890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724397056000).

1252111890960 is an abundant number, since it is smaller than the sum of its proper divisors (4196682221040).

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

1252111890960 is a wasteful number, since it uses less digits than its factorization.

1252111890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1252111890960 in words is "one trillion, two hundred fifty-two billion, one hundred eleven million, eight hundred ninety thousand, nine hundred sixty".