1003606152120 has 576 divisors, whose sum is σ = 3882942554400. Its totient is φ = 223305984000.

The previous prime is 1003606152079. The next prime is 1003606152137. The reversal of 1003606152120 is 212516063001.

1003606152120 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 0 + 615 + 21 + 20 = 666.

It is a super-2 number, since 2×1003606152120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 101359170 + ... + 101369070.

Almost surely, 2^{1003606152120} is an apocalyptic number.

1003606152120 is a gapful number since it is divisible by the number (10) 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 1003606152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941471277200).

1003606152120 is an abundant number, since it is smaller than the sum of its proper divisors (2879336402280).

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

1003606152120 is a wasteful number, since it uses less digits than its factorization.

1003606152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1003606152120 in words is "one trillion, three billion, six hundred six million, one hundred fifty-two thousand, one hundred twenty".