11531402120000 has 280 divisors, whose sum is σ = 32978899873920. Its totient is φ = 3917341440000.

The previous prime is 11531402119973. The next prime is 11531402120033. The reversal of 11531402120000 is 2120413511.

It is a tau number, because it is divible by the number of its divisors (280).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30331085 + ... + 30708915.

It is an arithmetic number, because the mean of its divisors is an integer number (117781785264).

Almost surely, 2^{11531402120000} is an apocalyptic number.

11531402120000 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 11531402120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489449936960).

11531402120000 is an abundant number, since it is smaller than the sum of its proper divisors (21447497753920).

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

11531402120000 is an equidigital number, since it uses as much as digits as its factorization.

11531402120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377979 (or 377954 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11531402120000 its reverse (2120413511), we get a palindrome (11533522533511).

The spelling of 11531402120000 in words is "eleven trillion, five hundred thirty-one billion, four hundred two million, one hundred twenty thousand".