22011001011120 has 320 divisors, whose sum is σ = 79129910361600. Its totient is φ = 5002106880000.

The previous prime is 22011001011119. The next prime is 22011001011217. The reversal of 22011001011120 is 2111010011022.

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 = 22011001011096 and 22011001011105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10287906 + ... + 12241854.

It is an arithmetic number, because the mean of its divisors is an integer number (247280969880).

Almost surely, 2^{22011001011120} is an apocalyptic number.

22011001011120 is a gapful number since it is divisible by the number (20) 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 22011001011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564955180800).

22011001011120 is an abundant number, since it is smaller than the sum of its proper divisors (57118909350480).

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

22011001011120 is a wasteful number, since it uses less digits than its factorization.

22011001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954244 (or 1954238 counting only the distinct ones).

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

Adding to 22011001011120 its reverse (2111010011022), we get a palindrome (24122011022142).

The spelling of 22011001011120 in words is "twenty-two trillion, eleven billion, one million, eleven thousand, one hundred twenty".