1258382427120 has 3200 divisors, whose sum is σ = 6016702906368. Its totient is φ = 236489932800.

The previous prime is 1258382427061. The next prime is 1258382427163. The reversal of 1258382427120 is 217242838521.

1258382427120 is a `hidden beast` number, since 1 + 2 + 583 + 8 + 2 + 42 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×1258382427120² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 3.

It is a congruent number.

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 639 ways as a sum of consecutive naturals, for example, 17238115404 + ... + 17238115476.

Almost surely, 2^{1258382427120} is an apocalyptic number.

1258382427120 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 1258382427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008351453184).

1258382427120 is an abundant number, since it is smaller than the sum of its proper divisors (4758320479248).

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

1258382427120 is a wasteful number, since it uses less digits than its factorization.

1258382427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1258382427120 in words is "one trillion, two hundred fifty-eight billion, three hundred eighty-two million, four hundred twenty-seven thousand, one hundred twenty".