121000122012000 has 1536 divisors, whose sum is σ = 525641348284416. Its totient is φ = 23557091328000.

The previous prime is 121000122011987. The next prime is 121000122012031. The reversal of 121000122012000 is 210221000121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3502866729 + ... + 3502901271.

It is an arithmetic number, because the mean of its divisors is an integer number (342214419456).

Almost surely, 2^{121000122012000} is an apocalyptic number.

121000122012000 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 121000122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262820674142208).

121000122012000 is an abundant number, since it is smaller than the sum of its proper divisors (404641226272416).

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

121000122012000 is a wasteful number, since it uses less digits than its factorization.

121000122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34829 (or 34811 counting only the distinct ones).

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

Adding to 121000122012000 its reverse (210221000121), we get a palindrome (121210343012121).

The spelling of 121000122012000 in words is "one hundred twenty-one trillion, one hundred twenty-two million, twelve thousand".