121212112000 has 512 divisors, whose sum is σ = 362258956800. Its totient is φ = 39455539200.

The previous prime is 121212111991. The next prime is 121212112001. The reversal of 121212112000 is 211212121.

It is not an unprimeable number, because it can be changed into a prime (121212112001) 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, 217615722 + ... + 217616278.

It is an arithmetic number, because the mean of its divisors is an integer number (707537025).

Almost surely, 2^121212112000 is an apocalyptic number.

121212112000 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 121212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181129478400).

121212112000 is an abundant number, since it is smaller than the sum of its proper divisors (241046844800).

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

121212112000 is an equidigital number, since it uses as much as digits as its factorization.

121212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121212112000 its reverse (211212121), we get a palindrome (121423324121).

The spelling of 121212112000 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand".