29121120 has 288 divisors, whose sum is σ = 118879488. Its totient is φ = 6594048.

The previous prime is 29121101. The next prime is 29121137. The reversal of 29121120 is 2112192.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 29121093 and 29121102.

It is a congruent number.

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, 272107 + ... + 272213.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^29121120 is an apocalyptic number.

29121120 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 29121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

29121120 is an abundant number, since it is smaller than the sum of its proper divisors (89758368).

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

29121120 is a wasteful number, since it uses less digits than its factorization.

29121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 29121120 is about 5396.3987991993. The cubic root of 29121120 is about 307.6588114819.

It can be divided in two parts, 29121 and 120, that added together give a square (29241 = 171²).

The spelling of 29121120 in words is "twenty-nine million, one hundred twenty-one thousand, one hundred twenty".