22140577504122 has 256 divisors, whose sum is σ = 56231229542400. Its totient is φ = 5645396736000.

The previous prime is 22140577504103. The next prime is 22140577504159.

22140577504122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2532952672 + ... + 2532961412.

It is an arithmetic number, because the mean of its divisors is an integer number (219653240400).

Almost surely, 2^{22140577504122} is an apocalyptic number.

22140577504122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140577504122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28115614771200).

22140577504122 is an abundant number, since it is smaller than the sum of its proper divisors (34090652038278).

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

22140577504122 is a wasteful number, since it uses less digits than its factorization.

22140577504122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333.

The product of its (nonzero) digits is 313600, while the sum is 42.

It can be divided in two parts, 2214057 and 7504122, that added together give a palindrome (9718179).

The spelling of 22140577504122 in words is "twenty-two trillion, one hundred forty billion, five hundred seventy-seven million, five hundred four thousand, one hundred twenty-two".