11022001110120 has 768 divisors, whose sum is σ = 44771095111680. Its totient is φ = 2107913932800.

The previous prime is 11022001110103. The next prime is 11022001110151. The reversal of 11022001110120 is 2101110022011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11022001110096 and 11022001110105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541851150 + ... + 541871490.

It is an arithmetic number, because the mean of its divisors is an integer number (58295696760).

Almost surely, 2^{11022001110120} is an apocalyptic number.

11022001110120 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 11022001110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385547555840).

11022001110120 is an abundant number, since it is smaller than the sum of its proper divisors (33749094001560).

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

11022001110120 is a wasteful number, since it uses less digits than its factorization.

11022001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20746 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022001110120 its reverse (2101110022011), we get a palindrome (13123111132131).

It can be divided in two parts, 11022001 and 110120, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 11022001110120 in words is "eleven trillion, twenty-two billion, one million, one hundred ten thousand, one hundred twenty".