29999922061200 has 480 divisors, whose sum is σ = 119070483168000. Its totient is φ = 6287169576960.

The previous prime is 29999922061181. The next prime is 29999922061259. The reversal of 29999922061200 is 216022999992.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15348906 + ... + 17192694.

It is an arithmetic number, because the mean of its divisors is an integer number (248063506600).

Almost surely, 2^{29999922061200} is an apocalyptic number.

29999922061200 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 29999922061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535241584000).

29999922061200 is an abundant number, since it is smaller than the sum of its proper divisors (89070561106800).

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

29999922061200 is a wasteful number, since it uses less digits than its factorization.

29999922061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843979 (or 1843968 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 60.

The spelling of 29999922061200 in words is "twenty-nine trillion, nine hundred ninety-nine billion, nine hundred twenty-two million, sixty-one thousand, two hundred".