121000000121000 has 1024 divisors, whose sum is σ = 403483272192000. Its totient is φ = 32980286592000.

The previous prime is 121000000120969. The next prime is 121000000121023. The reversal of 121000000121000 is 121000000121.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 2301272711 + ... + 2301325289.

It is an arithmetic number, because the mean of its divisors is an integer number (394026633000).

Almost surely, 2^{121000000121000} is an apocalyptic number.

121000000121000 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 121000000121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201741636096000).

121000000121000 is an abundant number, since it is smaller than the sum of its proper divisors (282483272071000).

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

121000000121000 is a wasteful number, since it uses less digits than its factorization.

121000000121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52672 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121000000121000 its reverse (121000000121), we get a palindrome (121121000121121).

121000000121000 divided by its reverse (121000000121) gives a cube (1000 = 10³).

The spelling of 121000000121000 in words is "one hundred twenty-one trillion, one hundred twenty-one thousand".