121011222110000 has 400 divisors, whose sum is σ = 322833580185600. Its totient is φ = 43752441600000.

The previous prime is 121011222109927. The next prime is 121011222110069. The reversal of 121011222110000 is 11222110121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-4 number, since 4×121011222110000⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418045316 + ... + 418334684.

It is an arithmetic number, because the mean of its divisors is an integer number (807083950464).

Almost surely, 2^{121011222110000} is an apocalyptic number.

121011222110000 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 121011222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161416790092800).

121011222110000 is an abundant number, since it is smaller than the sum of its proper divisors (201822358075600).

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

121011222110000 is a wasteful number, since it uses less digits than its factorization.

121011222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289518 (or 289497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121011222110000 its reverse (11222110121), we get a palindrome (121022444220121).

The spelling of 121011222110000 in words is "one hundred twenty-one trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand".