121000001121000 has 256 divisors, whose sum is σ = 419529345580800. Its totient is φ = 32261845824000.

The previous prime is 121000001120987. The next prime is 121000001121007. The reversal of 121000001121000 is 121100000121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121000001121007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182215579 + ... + 182878421.

It is an arithmetic number, because the mean of its divisors is an integer number (1638786506175).

Almost surely, 2^{121000001121000} is an apocalyptic number.

121000001121000 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 121000001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209764672790400).

121000001121000 is an abundant number, since it is smaller than the sum of its proper divisors (298529344459800).

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

121000001121000 is a wasteful number, since it uses less digits than its factorization.

121000001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669634 (or 669614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000001121000 its reverse (121100000121), we get a palindrome (121121101121121).

The spelling of 121000001121000 in words is "one hundred twenty-one trillion, one million, one hundred twenty-one thousand".