1262258493120 has 224 divisors, whose sum is σ = 4460810788800. Its totient is φ = 336009388032.

The previous prime is 1262258493053. The next prime is 1262258493151. The reversal of 1262258493120 is 213948522621.

1262258493120 is a `hidden beast` number, since 1 + 2 + 62 + 2 + 584 + 9 + 3 + 1 + 2 + 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4787782 + ... + 5044538.

Almost surely, 2^{1262258493120} is an apocalyptic number.

1262258493120 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 1262258493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230405394400).

1262258493120 is an abundant number, since it is smaller than the sum of its proper divisors (3198552295680).

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

1262258493120 is a wasteful number, since it uses less digits than its factorization.

1262258493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257352 (or 257336 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1262258493120 in words is "one trillion, two hundred sixty-two billion, two hundred fifty-eight million, four hundred ninety-three thousand, one hundred twenty".