47107605121200 has 1920 divisors, whose sum is σ = 195755364188160. Its totient is φ = 10664217907200.

The previous prime is 47107605121189. The next prime is 47107605121207. The reversal of 47107605121200 is 212150670174.

47107605121200 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 7 + 605 + 1 + 21 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47107605121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16317146157 + ... + 16317149043.

It is an arithmetic number, because the mean of its divisors is an integer number (101955918848).

Almost surely, 2^{47107605121200} is an apocalyptic number.

47107605121200 is a gapful number since it is divisible by the number (40) 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 47107605121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97877682094080).

47107605121200 is an abundant number, since it is smaller than the sum of its proper divisors (148647759066960).

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

47107605121200 is a wasteful number, since it uses less digits than its factorization.

47107605121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 47107605121200 its reverse (212150670174), we get a palindrome (47319755791374).

The spelling of 47107605121200 in words is "forty-seven trillion, one hundred seven billion, six hundred five million, one hundred twenty-one thousand, two hundred".