1223588032128 has 896 divisors, whose sum is σ = 4796930419200. Its totient is φ = 301054371840.

The previous prime is 1223588032123. The next prime is 1223588032129. The reversal of 1223588032128 is 8212308853221.

1223588032128 is a `hidden beast` number, since 1 + 2 + 2 + 358 + 80 + 3 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (1223588032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 136510975 + ... + 136519937.

Almost surely, 2^{1223588032128} is an apocalyptic number.

1223588032128 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 1223588032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398465209600).

1223588032128 is an abundant number, since it is smaller than the sum of its proper divisors (3573342387072).

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

1223588032128 is an equidigital number, since it uses as much as digits as its factorization.

1223588032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1223588032128 in words is "one trillion, two hundred twenty-three billion, five hundred eighty-eight million, thirty-two thousand, one hundred twenty-eight".