29022100122092 has 96 divisors (see below), whose sum is σ = 65399888547840. Its totient is φ = 10936477440000.

The previous prime is 29022100122049. The next prime is 29022100122131.

It is a happy number.

29022100122092 is nontrivially palindromic in base 10.

29022100122092 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×29022100122092³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16352084 + ... + 18039812.

It is an arithmetic number, because the mean of its divisors is an integer number (681248839040).

Almost surely, 2^{29022100122092} is an apocalyptic number.

29022100122092 is a gapful number since it is divisible by the number (22) 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 29022100122092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32699944273920).

29022100122092 is an abundant number, since it is smaller than the sum of its proper divisors (36377788425748).

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

29022100122092 is a wasteful number, since it uses less digits than its factorization.

29022100122092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689583 (or 1689581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 29022100 and 122092, that added together give a palindrome (29144192).

The spelling of 29022100122092 in words is "twenty-nine trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, ninety-two".