1224040115088 has 720 divisors, whose sum is σ = 4339865088000. Its totient is φ = 320034903552.

The previous prime is 1224040115071. The next prime is 1224040115113. The reversal of 1224040115088 is 8805110404221.

1224040115088 is a `hidden beast` number, since 1 + 2 + 24 + 0 + 401 + 150 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 497778403 + ... + 497780861.

It is an arithmetic number, because the mean of its divisors is an integer number (6027590400).

Almost surely, 2^{1224040115088} is an apocalyptic number.

1224040115088 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 1224040115088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169932544000).

1224040115088 is an abundant number, since it is smaller than the sum of its proper divisors (3115824972912).

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

1224040115088 is a wasteful number, since it uses less digits than its factorization.

1224040115088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 1224040115088 in words is "one trillion, two hundred twenty-four billion, forty million, one hundred fifteen thousand, eighty-eight".