11401212024 has 192 divisors, whose sum is σ = 32833382400. Its totient is φ = 3705077376.

The previous prime is 11401211977. The next prime is 11401212041. The reversal of 11401212024 is 42021210411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11401211988 and 11401212006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24624417 + ... + 24624879.

It is an arithmetic number, because the mean of its divisors is an integer number (171007200).

Almost surely, 2^11401212024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416691200).

11401212024 is an abundant number, since it is smaller than the sum of its proper divisors (21432170376).

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

11401212024 is a wasteful number, since it uses less digits than its factorization.

11401212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11401212024 its reverse (42021210411), we get a palindrome (53422422435).

The spelling of 11401212024 in words is "eleven billion, four hundred one million, two hundred twelve thousand, twenty-four".