11531414012000 has 48 divisors (see below), whose sum is σ = 28332684237312. Its totient is φ = 4612565603200.

The previous prime is 11531414011979. The next prime is 11531414012023. The reversal of 11531414012000 is 21041413511.

It is a super-2 number, since 2×11531414012000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441422752 + ... + 1441430751.

It is an arithmetic number, because the mean of its divisors is an integer number (590264254944).

Almost surely, 2^{11531414012000} is an apocalyptic number.

11531414012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531414012000 is an abundant number, since it is smaller than the sum of its proper divisors (16801270225312).

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

11531414012000 is an equidigital number, since it uses as much as digits as its factorization.

11531414012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882853528 (or 2882853510 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 11531414012000 its reverse (21041413511), we get a palindrome (11552455425511).

The spelling of 11531414012000 in words is "eleven trillion, five hundred thirty-one billion, four hundred fourteen million, twelve thousand".