121121220000000 has 2304 divisors, whose sum is σ = 469096799109120. Its totient is φ = 27456000000000.

The previous prime is 121121219999981. The next prime is 121121220000089. The reversal of 121121220000000 is 22121121.

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

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, 1199219999950 + ... + 1199220000050.

It is an arithmetic number, because the mean of its divisors is an integer number (203601041280).

Almost surely, 2^{121121220000000} is an apocalyptic number.

121121220000000 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 121121220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234548399554560).

121121220000000 is an abundant number, since it is smaller than the sum of its proper divisors (347975579109120).

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

121121220000000 is an frugal number, since it uses more digits than its factorization.

121121220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

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

Adding to 121121220000000 its reverse (22121121), we get a palindrome (121121242121121).

It can be divided in two parts, 1211212 and 20000000, that added together give a palindrome (21211212).

The spelling of 121121220000000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty million", and thus it is an aban number.