6121150560000 has 3240 divisors, whose sum is σ = 28277672623200. Its totient is φ = 1316818944000.

The previous prime is 6121150559971. The next prime is 6121150560011. The reversal of 6121150560000 is 650511216.

It is a happy number.

6121150560000 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 1 + 50 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 360067679992 + ... + 360067680008.

Almost surely, 2^{6121150560000} is an apocalyptic number.

6121150560000 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 6121150560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138836311600).

6121150560000 is an abundant number, since it is smaller than the sum of its proper divisors (22156522063200).

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

6121150560000 is an frugal number, since it uses more digits than its factorization.

6121150560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 6121150560000 in words is "six trillion, one hundred twenty-one billion, one hundred fifty million, five hundred sixty thousand".