6120114739200 has 2592 divisors, whose sum is σ = 28540451262960. Its totient is φ = 1238630400000.

The previous prime is 6120114739187. The next prime is 6120114739217. The reversal of 6120114739200 is 29374110216.

6120114739200 is a `hidden beast` number, since 6 + 120 + 1 + 147 + 392 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 10183218900 + ... + 10183219500.

Almost surely, 2^{6120114739200} is an apocalyptic number.

6120114739200 is a gapful number since it is divisible by the number (60) 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 6120114739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270225631480).

6120114739200 is an abundant number, since it is smaller than the sum of its proper divisors (22420336523760).

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

6120114739200 is a wasteful number, since it uses less digits than its factorization.

6120114739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 6120114739200 its reverse (29374110216), we get a palindrome (6149488849416).

The spelling of 6120114739200 in words is "six trillion, one hundred twenty billion, one hundred fourteen million, seven hundred thirty-nine thousand, two hundred".