11400212420 has 48 divisors (see below), whose sum is σ = 25262428800. Its totient is φ = 4309459200.

The previous prime is 11400212377. The next prime is 11400212437. The reversal of 11400212420 is 2421200411.

11400212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11400212420² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118745 + ... + 192095.

It is an arithmetic number, because the mean of its divisors is an integer number (526300600).

Almost surely, 2^11400212420 is an apocalyptic number.

11400212420 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 11400212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631214400).

11400212420 is an abundant number, since it is smaller than the sum of its proper divisors (13862216380).

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

11400212420 is a wasteful number, since it uses less digits than its factorization.

11400212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73788 (or 73786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11400212420 its reverse (2421200411), we get a palindrome (13821412831).

The spelling of 11400212420 in words is "eleven billion, four hundred million, two hundred twelve thousand, four hundred twenty".