1248141312000 has 1904 divisors, whose sum is σ = 5363676976320. Its totient is φ = 286654464000.

The previous prime is 1248141311993. The next prime is 1248141312007. The reversal of 1248141312000 is 2131418421.

1248141312000 is a `hidden beast` number, since 1 + 2 + 48 + 1 + 413 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1248141311993) and next prime (1248141312007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248141312007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 65691647991 + ... + 65691648009.

Almost surely, 2^{1248141312000} is an apocalyptic number.

1248141312000 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 1248141312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681838488160).

1248141312000 is an abundant number, since it is smaller than the sum of its proper divisors (4115535664320).

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

1248141312000 is an frugal number, since it uses more digits than its factorization.

1248141312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1248141312000 in words is "one trillion, two hundred forty-eight billion, one hundred forty-one million, three hundred twelve thousand".