11201121414 has 96 divisors (see below), whose sum is σ = 30202848000. Its totient is φ = 2927316672.

The previous prime is 11201121367. The next prime is 11201121419. The reversal of 11201121414 is 41412110211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201121419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11244 + ... + 150095.

It is an arithmetic number, because the mean of its divisors is an integer number (314613000).

Almost surely, 2^11201121414 is an apocalyptic number.

11201121414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201121414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101424000).

11201121414 is an abundant number, since it is smaller than the sum of its proper divisors (19001726586).

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

11201121414 is a wasteful number, since it uses less digits than its factorization.

11201121414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161402 (or 161399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201121414 its reverse (41412110211), we get a palindrome (52613231625).

The spelling of 11201121414 in words is "eleven billion, two hundred one million, one hundred twenty-one thousand, four hundred fourteen".