11413214120 has 256 divisors, whose sum is σ = 34052659200. Its totient is φ = 3335040000.

The previous prime is 11413214117. The next prime is 11413214143. The reversal of 11413214120 is 2141231411.

It is a super-2 number, since 2×11413214120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11413214092 and 11413214101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5909555 + ... + 5911485.

It is an arithmetic number, because the mean of its divisors is an integer number (133018200).

Almost surely, 2^11413214120 is an apocalyptic number.

11413214120 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 11413214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026329600).

11413214120 is an abundant number, since it is smaller than the sum of its proper divisors (22639445080).

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

11413214120 is a wasteful number, since it uses less digits than its factorization.

11413214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11413214120 its reverse (2141231411), we get a palindrome (13554445531).

The spelling of 11413214120 in words is "eleven billion, four hundred thirteen million, two hundred fourteen thousand, one hundred twenty".