22012211121120 has 384 divisors, whose sum is σ = 87700829690880. Its totient is φ = 5104280586240.

The previous prime is 22012211121119. The next prime is 22012211121127. The reversal of 22012211121120 is 2112111221022.

22012211121120 is a `hidden beast` number, since 2 + 201 + 221 + 1 + 121 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22012211121093 and 22012211121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012211121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8977039 + ... + 11162958.

It is an arithmetic number, because the mean of its divisors is an integer number (228387577320).

Almost surely, 2^{22012211121120} is an apocalyptic number.

22012211121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012211121120 is an abundant number, since it is smaller than the sum of its proper divisors (65688618569760).

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

22012211121120 is a wasteful number, since it uses less digits than its factorization.

22012211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20140055 (or 20140041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22012211121120 its reverse (2112111221022), we get a palindrome (24124322342142).

The spelling of 22012211121120 in words is "twenty-two trillion, twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".