1098840125124 has 288 divisors, whose sum is σ = 3494933568000. Its totient is φ = 296871801408.

The previous prime is 1098840125111. The next prime is 1098840125129. The reversal of 1098840125124 is 4215210488901.

1098840125124 is a `hidden beast` number, since 1 + 0 + 9 + 88 + 40 + 12 + 512 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1098840125124.

It is not an unprimeable number, because it can be changed into a prime (1098840125129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54989767 + ... + 55009745.

It is an arithmetic number, because the mean of its divisors is an integer number (12135186000).

Almost surely, 2^{1098840125124} is an apocalyptic number.

1098840125124 is a gapful number since it is divisible by the number (14) 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 1098840125124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747466784000).

1098840125124 is an abundant number, since it is smaller than the sum of its proper divisors (2396093442876).

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

1098840125124 is a wasteful number, since it uses less digits than its factorization.

1098840125124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20572 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1098840125124 in words is "one trillion, ninety-eight billion, eight hundred forty million, one hundred twenty-five thousand, one hundred twenty-four".