11424202000 has 160 divisors (see below), whose sum is σ = 29053720800. Its totient is φ = 4338432000.

The previous prime is 11424201979. The next prime is 11424202007. The reversal of 11424202000 is 20242411.

It can be written as a sum of positive squares in 16 ways, for example, as 11056943104 + 367258896 = 105152^2 + 19164^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11424202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3536386 + ... + 3539614.

It is an arithmetic number, because the mean of its divisors is an integer number (181585755).

Almost surely, 2^11424202000 is an apocalyptic number.

11424202000 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 11424202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526860400).

11424202000 is an abundant number, since it is smaller than the sum of its proper divisors (17629518800).

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

11424202000 is a wasteful number, since it uses less digits than its factorization.

11424202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11424202000 its reverse (20242411), we get a palindrome (11444444411).

It can be divided in two parts, 1142420 and 2000, that multiplied together give a square (2284840000 = 47800²).

The spelling of 11424202000 in words is "eleven billion, four hundred twenty-four million, two hundred two thousand".