29214120 has 128 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 7050240.

The previous prime is 29214083. The next prime is 29214131. The reversal of 29214120 is 2141292.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95007 + ... + 95313.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^29214120 is an apocalyptic number.

29214120 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 29214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

29214120 is an abundant number, since it is smaller than the sum of its proper divisors (67029720).

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

29214120 is a wasteful number, since it uses less digits than its factorization.

29214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 29214120 is about 5405.0087881520. The cubic root of 29214120 is about 307.9859722627.

The spelling of 29214120 in words is "twenty-nine million, two hundred fourteen thousand, one hundred twenty".