1230037068288 has 960 divisors, whose sum is σ = 4197048514560. Its totient is φ = 317857333248.

The previous prime is 1230037068233. The next prime is 1230037068289. The reversal of 1230037068288 is 8828607300321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1230037068289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4346420595 + ... + 4346420877.

It is an arithmetic number, because the mean of its divisors is an integer number (4371925536).

Almost surely, 2^{1230037068288} 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 1230037068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098524257280).

1230037068288 is an abundant number, since it is smaller than the sum of its proper divisors (2967011446272).

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

1230037068288 is a wasteful number, since it uses less digits than its factorization.

1230037068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1230037068288 in words is "one trillion, two hundred thirty billion, thirty-seven million, sixty-eight thousand, two hundred eighty-eight".