6121686912000 has 1408 divisors, whose sum is σ = 23690857881600. Its totient is φ = 1387487232000.

The previous prime is 6121686911993. The next prime is 6121686912007. The reversal of 6121686912000 is 2196861216.

It is an interprime number because it is at equal distance from previous prime (6121686911993) and next prime (6121686912007).

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (6121686912007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6661247541 + ... + 6661248459.

Almost surely, 2^{6121686912000} is an apocalyptic number.

6121686912000 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 6121686912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845428940800).

6121686912000 is an abundant number, since it is smaller than the sum of its proper divisors (17569170969600).

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

6121686912000 is a wasteful number, since it uses less digits than its factorization.

6121686912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 6121686912000 in words is "six trillion, one hundred twenty-one billion, six hundred eighty-six million, nine hundred twelve thousand".