29304033120 has 192 divisors, whose sum is σ = 103801098240. Its totient is φ = 7720164864.

The previous prime is 29304033107. The next prime is 29304033133. The reversal of 29304033120 is 2133040392.

It is a happy number.

29304033120 is a `hidden beast` number, since 2 + 9 + 304 + 0 + 331 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (29304033107) and next prime (29304033133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 317697 + ... + 399423.

It is an arithmetic number, because the mean of its divisors is an integer number (540630720).

Almost surely, 2^29304033120 is an apocalyptic number.

29304033120 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 29304033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51900549120).

29304033120 is an abundant number, since it is smaller than the sum of its proper divisors (74497065120).

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

29304033120 is a wasteful number, since it uses less digits than its factorization.

29304033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81834 (or 81820 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 29304033120 in words is "twenty-nine billion, three hundred four million, thirty-three thousand, one hundred twenty".