6121973347200 has 384 divisors, whose sum is σ = 23127464985600. Its totient is φ = 1579863398400.

The previous prime is 6121973347183. The next prime is 6121973347291. The reversal of 6121973347200 is 27433791216.

6121973347200 is a `hidden beast` number, since 6 + 1 + 21 + 97 + 334 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535559 + ... + 3821241.

It is an arithmetic number, because the mean of its divisors is an integer number (60227773400).

Almost surely, 2^{6121973347200} is an apocalyptic number.

6121973347200 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 6121973347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563732492800).

6121973347200 is an abundant number, since it is smaller than the sum of its proper divisors (17005491638400).

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

6121973347200 is a wasteful number, since it uses less digits than its factorization.

6121973347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285747 (or 2285724 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 6121973347200 in words is "six trillion, one hundred twenty-one billion, nine hundred seventy-three million, three hundred forty-seven thousand, two hundred".