1009112125428 has 288 divisors, whose sum is σ = 3015312168960. Its totient is φ = 292100307840.

The previous prime is 1009112125381. The next prime is 1009112125471. The reversal of 1009112125428 is 8245212119001.

1009112125428 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 11 + 212 + 5 + 428 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1009112125392 and 1009112125401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215665993 + ... + 215670671.

It is an arithmetic number, because the mean of its divisors is an integer number (10469833920).

Almost surely, 2^{1009112125428} is an apocalyptic number.

1009112125428 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 1009112125428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507656084480).

1009112125428 is an abundant number, since it is smaller than the sum of its proper divisors (2006200043532).

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

1009112125428 is a wasteful number, since it uses less digits than its factorization.

1009112125428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1009112125428 in words is "one trillion, nine billion, one hundred twelve million, one hundred twenty-five thousand, four hundred twenty-eight".