121135040000 has 400 divisors, whose sum is σ = 334938073008. Its totient is φ = 43462656000.

The previous prime is 121135039969. The next prime is 121135040009. The reversal of 121135040000 is 40531121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121135040009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153919607 + ... + 153920393.

Almost surely, 2^121135040000 is an apocalyptic number.

121135040000 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 121135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469036504).

121135040000 is an abundant number, since it is smaller than the sum of its proper divisors (213803033008).

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

121135040000 is an frugal number, since it uses more digits than its factorization.

121135040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 121135040000 its reverse (40531121), we get a palindrome (121175571121).

The spelling of 121135040000 in words is "one hundred twenty-one billion, one hundred thirty-five million, forty thousand".