121020121012000 has 288 divisors, whose sum is σ = 346872859023600. Its totient is φ = 41375046451200.

The previous prime is 121020121011983. The next prime is 121020121012003. The reversal of 121020121012000 is 210121020121.

It can be written as a sum of positive squares in 8 ways, for example, as 9058920118416 + 111961200893584 = 3009804^2 + 10581172^2 .

It is not an unprimeable number, because it can be changed into a prime (121020121012003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68313426 + ... + 70062574.

Almost surely, 2^{121020121012000} is an apocalyptic number.

121020121012000 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 121020121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173436429511800).

121020121012000 is an abundant number, since it is smaller than the sum of its proper divisors (225852738011600).

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

121020121012000 is a wasteful number, since it uses less digits than its factorization.

121020121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749541 (or 1749516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121020121012000 its reverse (210121020121), we get a palindrome (121230242032121).

The spelling of 121020121012000 in words is "one hundred twenty-one trillion, twenty billion, one hundred twenty-one million, twelve thousand".