121101222000000 has 1792 divisors, whose sum is σ = 455884439604480. Its totient is φ = 28224000000000.

The previous prime is 121101221999999. The next prime is 121101222000019. The reversal of 121101222000000 is 222101121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121101222000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 246641999755 + ... + 246642000245.

Almost surely, 2^{121101222000000} is an apocalyptic number.

121101222000000 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 121101222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227942219802240).

121101222000000 is an abundant number, since it is smaller than the sum of its proper divisors (334783217604480).

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

121101222000000 is an equidigital number, since it uses as much as digits as its factorization.

121101222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 650 counting only the distinct ones).

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

Adding to 121101222000000 its reverse (222101121), we get a palindrome (121101444101121).

The spelling of 121101222000000 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-two million", and thus it is an aban number.