1258981701120 has 960 divisors, whose sum is σ = 5149600904448. Its totient is φ = 280240128000.

The previous prime is 1258981701031. The next prime is 1258981701137. The reversal of 1258981701120 is 211071898521.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695185015 + ... + 695186825.

Almost surely, 2^{1258981701120} is an apocalyptic number.

1258981701120 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 1258981701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574800452224).

1258981701120 is an abundant number, since it is smaller than the sum of its proper divisors (3890619203328).

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

1258981701120 is a wasteful number, since it uses less digits than its factorization.

1258981701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1258981701120 in words is "one trillion, two hundred fifty-eight billion, nine hundred eighty-one million, seven hundred one thousand, one hundred twenty".