1219255360128 has 384 divisors, whose sum is σ = 3859455600000. Its totient is φ = 367194415104.

The previous prime is 1219255360121. The next prime is 1219255360151. The reversal of 1219255360128 is 8210635529121.

1219255360128 is a `hidden beast` number, since 1 + 2 + 1 + 92 + 5 + 536 + 0 + 1 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1219255360121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135483373 + ... + 135492371.

It is an arithmetic number, because the mean of its divisors is an integer number (10050665625).

Almost surely, 2^{1219255360128} is an apocalyptic number.

1219255360128 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 1219255360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929727800000).

1219255360128 is an abundant number, since it is smaller than the sum of its proper divisors (2640200239872).

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

1219255360128 is a wasteful number, since it uses less digits than its factorization.

1219255360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1219255360128 in words is "one trillion, two hundred nineteen billion, two hundred fifty-five million, three hundred sixty thousand, one hundred twenty-eight".