1231134709728 has 192 divisors, whose sum is σ = 4035354204672. Its totient is φ = 319284295680.

The previous prime is 1231134709709. The next prime is 1231134709729. The reversal of 1231134709728 is 8279074311321.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231134709729) 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, 4699450 + ... + 4954502.

It is an arithmetic number, because the mean of its divisors is an integer number (21017469816).

Almost surely, 2^{1231134709728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231134709728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017677102336).

1231134709728 is an abundant number, since it is smaller than the sum of its proper divisors (2804219494944).

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

1231134709728 is a wasteful number, since it uses less digits than its factorization.

1231134709728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255737 (or 255729 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 1231134709728 in words is "one trillion, two hundred thirty-one billion, one hundred thirty-four million, seven hundred nine thousand, seven hundred twenty-eight".