29842013124 has 216 divisors, whose sum is σ = 97079726016. Its totient is φ = 7641648000.

The previous prime is 29842013101. The next prime is 29842013161. The reversal of 29842013124 is 42131024892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1366854 + ... + 1388514.

It is an arithmetic number, because the mean of its divisors is an integer number (449443176).

Almost surely, 2^29842013124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29842013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48539863008).

29842013124 is an abundant number, since it is smaller than the sum of its proper divisors (67237712892).

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

29842013124 is a wasteful number, since it uses less digits than its factorization.

29842013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21755 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 29842013124 in words is "twenty-nine billion, eight hundred forty-two million, thirteen thousand, one hundred twenty-four".