6120609600000 has 1440 divisors, whose sum is σ = 24204804668352. Its totient is φ = 1369804800000.

The previous prime is 6120609599989. The next prime is 6120609600013. The reversal of 6120609600000 is 69060216.

It is a super-2 number, since 2×6120609600000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12465599755 + ... + 12465600245.

Almost surely, 2^{6120609600000} is an apocalyptic number.

6120609600000 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 6120609600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102402334176).

6120609600000 is an abundant number, since it is smaller than the sum of its proper divisors (18084195068352).

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

6120609600000 is an frugal number, since it uses more digits than its factorization.

6120609600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

It can be divided in two parts, 612060 and 9600000, that multiplied together give a square (5875776000000 = 2424000²).

The spelling of 6120609600000 in words is "six trillion, one hundred twenty billion, six hundred nine million, six hundred thousand".