121131442132000 has 192 divisors, whose sum is σ = 298300589050464. Its totient is φ = 48341886566400.

The previous prime is 121131442131991. The next prime is 121131442132073. The reversal of 121131442132000 is 231244131121.

It can be written as a sum of positive squares in 16 ways, for example, as 2356581133456 + 118774860998544 = 1535116^2 + 10898388^2 .

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

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 31 ways as a sum of consecutive naturals, for example, 3491506654 + ... + 3491541346.

Almost surely, 2^{121131442132000} is an apocalyptic number.

121131442132000 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 121131442132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149150294525232).

121131442132000 is an abundant number, since it is smaller than the sum of its proper divisors (177169146918464).

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

121131442132000 is a wasteful number, since it uses less digits than its factorization.

121131442132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36688 (or 36670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 121131442132000 its reverse (231244131121), we get a palindrome (121362686263121).

The spelling of 121131442132000 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, four hundred forty-two million, one hundred thirty-two thousand".