110121222120000 has 840 divisors, whose sum is σ = 456108623220096. Its totient is φ = 23234351616000.

The previous prime is 110121222119999. The next prime is 110121222120011. The reversal of 110121222120000 is 21222121011.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×110121222120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75719689 + ... + 77160311.

Almost surely, 2^{110121222120000} is an apocalyptic number.

110121222120000 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 110121222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228054311610048).

110121222120000 is an abundant number, since it is smaller than the sum of its proper divisors (345987401100096).

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

110121222120000 is a wasteful number, since it uses less digits than its factorization.

110121222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440685 (or 1440653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110121222120000 its reverse (21222121011), we get a palindrome (110142444241011).

The spelling of 110121222120000 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand".