29011022011092 has 96 divisors (see below), whose sum is σ = 77644999152000. Its totient is φ = 8348924505600.

The previous prime is 29011022011073. The next prime is 29011022011133.

29011022011092 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61886467 + ... + 62353482.

It is an arithmetic number, because the mean of its divisors is an integer number (808802074500).

Almost surely, 2^{29011022011092} is an apocalyptic number.

29011022011092 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29011022011092 is an abundant number, since it is smaller than the sum of its proper divisors (48633977140908).

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

29011022011092 is a wasteful number, since it uses less digits than its factorization.

29011022011092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124240057 (or 124240055 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

It can be divided in two parts, 2901102 and 2011092, that added together give a palindrome (4912194).

The spelling of 29011022011092 in words is "twenty-nine trillion, eleven billion, twenty-two million, eleven thousand, ninety-two".