11214242403000 has 1024 divisors, whose sum is σ = 43660246855680. Its totient is φ = 2333445120000.

The previous prime is 11214242402983. The next prime is 11214242403061. The reversal of 11214242403000 is 30424241211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8740640359 + ... + 8740641641.

It is an arithmetic number, because the mean of its divisors is an integer number (42636959820).

Almost surely, 2^{11214242403000} is an apocalyptic number.

11214242403000 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 11214242403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830123427840).

11214242403000 is an abundant number, since it is smaller than the sum of its proper divisors (32446004452680).

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

11214242403000 is a wasteful number, since it uses less digits than its factorization.

11214242403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11214242403000 its reverse (30424241211), we get a palindrome (11244666644211).

The spelling of 11214242403000 in words is "eleven trillion, two hundred fourteen billion, two hundred forty-two million, four hundred three thousand".