1003112122302 has 128 divisors (see below), whose sum is σ = 2388657600000. Its totient is φ = 311086676736.

The previous prime is 1003112122261. The next prime is 1003112122303. The reversal of 1003112122302 is 2032212113001.

1003112122302 is a `hidden beast` number, since 10 + 0 + 311 + 21 + 22 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003112122303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63492268 + ... + 63508064.

It is an arithmetic number, because the mean of its divisors is an integer number (18661387500).

Almost surely, 2^{1003112122302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003112122302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194328800000).

1003112122302 is an abundant number, since it is smaller than the sum of its proper divisors (1385545477698).

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

1003112122302 is a wasteful number, since it uses less digits than its factorization.

1003112122302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003112122302 its reverse (2032212113001), we get a palindrome (3035324235303).

The spelling of 1003112122302 in words is "one trillion, three billion, one hundred twelve million, one hundred twenty-two thousand, three hundred two".