121222121012000 has 192 divisors, whose sum is σ = 301849738444800. Its totient is φ = 47837474380800.

The previous prime is 121222121011961. The next prime is 121222121012011. The reversal of 121222121012000 is 210121222121.

It is a self number, because there is not a number n which added to its sum of digits gives 121222121012000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404014034 + ... + 404313966.

It is an arithmetic number, because the mean of its divisors is an integer number (1572134054400).

Almost surely, 2^{121222121012000} is an apocalyptic number.

121222121012000 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 121222121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150924869222400).

121222121012000 is an abundant number, since it is smaller than the sum of its proper divisors (180627617432800).

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

121222121012000 is a wasteful number, since it uses less digits than its factorization.

121222121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301316 (or 301298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121222121012000 its reverse (210121222121), we get a palindrome (121432242234121).

The spelling of 121222121012000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, twelve thousand".