11242431202002 has 768 divisors, whose sum is σ = 32166814224384. Its totient is φ = 2545961932800.

The previous prime is 11242431201977. The next prime is 11242431202019. The reversal of 11242431202002 is 20020213424211.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13862430177 + ... + 13862430987.

It is an arithmetic number, because the mean of its divisors is an integer number (41883872688).

Almost surely, 2^{11242431202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242431202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083407112192).

11242431202002 is an abundant number, since it is smaller than the sum of its proper divisors (20924383022382).

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

11242431202002 is a wasteful number, since it uses less digits than its factorization.

11242431202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11242431202002 its reverse (20020213424211), we get a palindrome (31262644626213).

The spelling of 11242431202002 in words is "eleven trillion, two hundred forty-two billion, four hundred thirty-one million, two hundred two thousand, two".