121221203220012 has 384 divisors, whose sum is σ = 343010753519616. Its totient is φ = 32599053877248.

The previous prime is 121221203219933. The next prime is 121221203220023. The reversal of 121221203220012 is 210022302122121.

It is a super-2 number, since 2×121221203220012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4662878998 + ... + 4662904994.

It is an arithmetic number, because the mean of its divisors is an integer number (893257170624).

Almost surely, 2^{121221203220012} is an apocalyptic number.

121221203220012 is a gapful number since it is divisible by the number (12) 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 121221203220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171505376759808).

121221203220012 is an abundant number, since it is smaller than the sum of its proper divisors (221789550299604).

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

121221203220012 is a wasteful number, since it uses less digits than its factorization.

121221203220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26465 (or 26463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121221203220012 its reverse (210022302122121), we get a palindrome (331243505342133).

The spelling of 121221203220012 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred three million, two hundred twenty thousand, twelve".