20012939924400 has 1200 divisors, whose sum is σ = 80232773702400. Its totient is φ = 4753912965120.

The previous prime is 20012939924363. The next prime is 20012939924407. The reversal of 20012939924400 is 442993921002.

20012939924400 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 9 + 399 + 244 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20012939924407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 835357222 + ... + 835381178.

It is an arithmetic number, because the mean of its divisors is an integer number (66860644752).

Almost surely, 2^{20012939924400} is an apocalyptic number.

20012939924400 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 20012939924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40116386851200).

20012939924400 is an abundant number, since it is smaller than the sum of its proper divisors (60219833778000).

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

20012939924400 is a wasteful number, since it uses less digits than its factorization.

20012939924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24088 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20012939924400 in words is "twenty trillion, twelve billion, nine hundred thirty-nine million, nine hundred twenty-four thousand, four hundred".