1230786188928 has 384 divisors, whose sum is σ = 3974462640000. Its totient is φ = 373656084480.

The previous prime is 1230786188903. The next prime is 1230786188999. The reversal of 1230786188928 is 8298816870321.

1230786188928 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 8 + 618 + 8 + 9 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56449773 + ... + 56471571.

It is an arithmetic number, because the mean of its divisors is an integer number (10350163125).

Almost surely, 2^{1230786188928} is an apocalyptic number.

1230786188928 is a gapful number since it is divisible by the number (18) 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 1230786188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987231320000).

1230786188928 is an abundant number, since it is smaller than the sum of its proper divisors (2743676451072).

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

1230786188928 is a wasteful number, since it uses less digits than its factorization.

1230786188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21901 (or 21852 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1230786188928 in words is "one trillion, two hundred thirty billion, seven hundred eighty-six million, one hundred eighty-eight thousand, nine hundred twenty-eight".