29978102112 has 768 divisors, whose sum is σ = 105902899200. Its totient is φ = 7226081280.

The previous prime is 29978102069. The next prime is 29978102123. The reversal of 29978102112 is 21120187992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336832564 + ... + 336832652.

It is an arithmetic number, because the mean of its divisors is an integer number (137894400).

Almost surely, 2^29978102112 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 29978102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52951449600).

29978102112 is an abundant number, since it is smaller than the sum of its proper divisors (75924797088).

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

29978102112 is a wasteful number, since it uses less digits than its factorization.

29978102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 29978102112 in words is "twenty-nine billion, nine hundred seventy-eight million, one hundred two thousand, one hundred twelve".