11315434012000 has 96 divisors (see below), whose sum is σ = 28114404514560. Its totient is φ = 4475317580800.

The previous prime is 11315434011989. The next prime is 11315434012037. The reversal of 11315434012000 is 21043451311.

It is a super-2 number, since 2×11315434012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 15536464 + ... + 16248463.

It is an arithmetic number, because the mean of its divisors is an integer number (292858380360).

Almost surely, 2^{11315434012000} is an apocalyptic number.

11315434012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315434012000 is an abundant number, since it is smaller than the sum of its proper divisors (16798970502560).

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

11315434012000 is an equidigital number, since it uses as much as digits as its factorization.

11315434012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31785041 (or 31785023 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11315434012000 its reverse (21043451311), we get a palindrome (11336477463311).

The spelling of 11315434012000 in words is "eleven trillion, three hundred fifteen billion, four hundred thirty-four million, twelve thousand".