1257311987712 has 384 divisors, whose sum is σ = 4090610160000. Its totient is φ = 378419281920.

The previous prime is 1257311987699. The next prime is 1257311987719. The reversal of 1257311987712 is 2177891137521.

It is a happy number.

1257311987712 is a `hidden beast` number, since 1 + 257 + 311 + 9 + 8 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1257311987719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90623208 + ... + 90637080.

It is an arithmetic number, because the mean of its divisors is an integer number (10652630625).

Almost surely, 2^{1257311987712} is an apocalyptic number.

1257311987712 is a gapful number since it is divisible by the number (12) 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 1257311987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045305080000).

1257311987712 is an abundant number, since it is smaller than the sum of its proper divisors (2833298172288).

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

1257311987712 is a wasteful number, since it uses less digits than its factorization.

1257311987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064 (or 14038 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 54.

The spelling of 1257311987712 in words is "one trillion, two hundred fifty-seven billion, three hundred eleven million, nine hundred eighty-seven thousand, seven hundred twelve".