121002121002000 has 1280 divisors, whose sum is σ = 467650015911936. Its totient is φ = 26345088000000.

The previous prime is 121002121001989. The next prime is 121002121002029. The reversal of 121002121002000 is 200121200121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12221197050 + ... + 12221206950.

Almost surely, 2^{121002121002000} is an apocalyptic number.

121002121002000 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 121002121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233825007955968).

121002121002000 is an abundant number, since it is smaller than the sum of its proper divisors (346647894909936).

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

121002121002000 is a wasteful number, since it uses less digits than its factorization.

121002121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121002121002000 its reverse (200121200121), we get a palindrome (121202242202121).

The spelling of 121002121002000 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-one million, two thousand".