11420211000 has 256 divisors, whose sum is σ = 39044229120. Its totient is φ = 2756160000.

The previous prime is 11420210941. The next prime is 11420211001. The reversal of 11420211000 is 11202411.

It is a happy number.

It is a super-4 number, since 4×11420211000⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420211001) 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, 8942362 + ... + 8943638.

It is an arithmetic number, because the mean of its divisors is an integer number (152516520).

Almost surely, 2^11420211000 is an apocalyptic number.

11420211000 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 11420211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522114560).

11420211000 is an abundant number, since it is smaller than the sum of its proper divisors (27624018120).

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

11420211000 is a wasteful number, since it uses less digits than its factorization.

11420211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11420211000 its reverse (11202411), we get a palindrome (11431413411).

The spelling of 11420211000 in words is "eleven billion, four hundred twenty million, two hundred eleven thousand".