22121122112122 has 32 divisors (see below), whose sum is σ = 37369244441088. Its totient is φ = 9729823680000.

The previous prime is 22121122112101. The next prime is 22121122112123.

22121122112122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22121122112093 and 22121122112102.

It is not an unprimeable number, because it can be changed into a prime (22121122112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6158722 + ... + 9064882.

It is an arithmetic number, because the mean of its divisors is an integer number (1167788888784).

Almost surely, 2^{22121122112122} is an apocalyptic number.

22121122112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121122112122 is a deficient number, since it is larger than the sum of its proper divisors (15248122328966).

22121122112122 is a wasteful number, since it uses less digits than its factorization.

22121122112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917366.

The product of its digits is 256, while the sum is 22.

Multiplying 22121122112122 by its sum of digits (22), we get a palindrome (486664686466684).

It can be divided in two parts, 2212112 and 2112122, that added together give a palindrome (4324234).

The spelling of 22121122112122 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-two".