29123120 has 80 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 10475520.

The previous prime is 29123119. The next prime is 29123173. The reversal of 29123120 is 2132192.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×29123120² = 1696312237068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 29123092 and 29123101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42299 + ... + 42981.

Almost surely, 2^29123120 is an apocalyptic number.

29123120 is a gapful number since it is divisible by the number (20) 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 29123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

29123120 is an abundant number, since it is smaller than the sum of its proper divisors (45684592).

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

29123120 is a wasteful number, since it uses less digits than its factorization.

29123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 29123120 is about 5396.5841047833. The cubic root of 29123120 is about 307.6658545207.

The spelling of 29123120 in words is "twenty-nine million, one hundred twenty-three thousand, one hundred twenty".