22110211201122 has 96 divisors (see below), whose sum is σ = 53693563772160. Its totient is φ = 6516476904960.

The previous prime is 22110211201103. The next prime is 22110211201151.

22110211201122 is a `hidden beast` number, since 22 + 110 + 211 + 201 + 122 = 666.

22110211201122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22110211201122² (a number of 27 digits) contains 22 as substring.

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 = 22110211201095 and 22110211201104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18535143 + ... + 19691925.

It is an arithmetic number, because the mean of its divisors is an integer number (559307955960).

Almost surely, 2^{22110211201122} is an apocalyptic number.

22110211201122 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 22110211201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26846781886080).

22110211201122 is an abundant number, since it is smaller than the sum of its proper divisors (31583352571038).

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

22110211201122 is a wasteful number, since it uses less digits than its factorization.

22110211201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159448 (or 1159445 counting only the distinct ones).

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

It can be divided in two parts, 2211021 and 1201122, that added together give a palindrome (3412143).

The spelling of 22110211201122 in words is "twenty-two trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred twenty-two".