11420101200 has 120 divisors (see below), whose sum is σ = 36620065888. Its totient is φ = 3042224640.

The previous prime is 11420101193. The next prime is 11420101201. The reversal of 11420101200 is 210102411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11420101200² (a number of 21 digits) contains 22 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 (11420101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307247 + ... + 1315953.

Almost surely, 2^11420101200 is an apocalyptic number.

11420101200 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 11420101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18310032944).

11420101200 is an abundant number, since it is smaller than the sum of its proper divisors (25199964688).

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

11420101200 is a wasteful number, since it uses less digits than its factorization.

11420101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821 (or 9810 counting only the distinct ones).

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

Adding to 11420101200 its reverse (210102411), we get a palindrome (11630203611).

The spelling of 11420101200 in words is "eleven billion, four hundred twenty million, one hundred one thousand, two hundred".