1003202022312 has 384 divisors, whose sum is σ = 3278942634240. Its totient is φ = 281414062080.

The previous prime is 1003202022311. The next prime is 1003202022337. The reversal of 1003202022312 is 2132202023001.

1003202022312 is a `hidden beast` number, since 10 + 0 + 320 + 2 + 0 + 22 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1003202022311) 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, 810995358 + ... + 810996594.

It is an arithmetic number, because the mean of its divisors is an integer number (8538913110).

Almost surely, 2^{1003202022312} is an apocalyptic number.

1003202022312 is a gapful number since it is divisible by the number (12) 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 1003202022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639471317120).

1003202022312 is an abundant number, since it is smaller than the sum of its proper divisors (2275740611928).

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

1003202022312 is a wasteful number, since it uses less digits than its factorization.

1003202022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1003202022312 its reverse (2132202023001), we get a palindrome (3135404045313).

The spelling of 1003202022312 in words is "one trillion, three billion, two hundred two million, twenty-two thousand, three hundred twelve".