29961842112 has 224 divisors, whose sum is σ = 89656554240. Its totient is φ = 9810478080.

The previous prime is 29961842107. The next prime is 29961842149. The reversal of 29961842112 is 21124816992.

It is a happy number.

29961842112 is a `hidden beast` number, since 2 + 9 + 9 + 618 + 4 + 21 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 24220758 + ... + 24221994.

Almost surely, 2^29961842112 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 29961842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44828277120).

29961842112 is an abundant number, since it is smaller than the sum of its proper divisors (59694712128).

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

29961842112 is a wasteful number, since it uses less digits than its factorization.

29961842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1480 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 29961842112 in words is "twenty-nine billion, nine hundred sixty-one million, eight hundred forty-two thousand, one hundred twelve".