11334014012000 has 96 divisors (see below), whose sum is σ = 27890720020800. Its totient is φ = 4526597452800.

The previous prime is 11334014011951. The next prime is 11334014012011. The reversal of 11334014012000 is 21041043311.

It is a super-2 number, since 2×11334014012000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398276 + ... + 4777724.

It is an arithmetic number, because the mean of its divisors is an integer number (290528333550).

Almost surely, 2^{11334014012000} is an apocalyptic number.

11334014012000 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 11334014012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945360010400).

11334014012000 is an abundant number, since it is smaller than the sum of its proper divisors (16556706008800).

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

11334014012000 is an equidigital number, since it uses as much as digits as its factorization.

11334014012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380121 (or 4380103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11334014012000 its reverse (21041043311), we get a palindrome (11355055055311).

The spelling of 11334014012000 in words is "eleven trillion, three hundred thirty-four billion, fourteen million, twelve thousand".