1023115212288 has 480 divisors, whose sum is σ = 3299335079040. Its totient is φ = 303181332480.

The previous prime is 1023115212281. The next prime is 1023115212293. The reversal of 1023115212288 is 8822125113201.

1023115212288 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 1 + 521 + 22 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023115212281) 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 47 ways as a sum of consecutive naturals, for example, 194026420 + ... + 194031692.

It is an arithmetic number, because the mean of its divisors is an integer number (6873614748).

Almost surely, 2^{1023115212288} is an apocalyptic number.

1023115212288 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 1023115212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649667539520).

1023115212288 is an abundant number, since it is smaller than the sum of its proper divisors (2276219866752).

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

1023115212288 is a wasteful number, since it uses less digits than its factorization.

1023115212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1023115212288 in words is "one trillion, twenty-three billion, one hundred fifteen million, two hundred twelve thousand, two hundred eighty-eight".