6193135842120 has 256 divisors, whose sum is σ = 21877908192000. Its totient is φ = 1552948973568.

The previous prime is 6193135842107. The next prime is 6193135842191. The reversal of 6193135842120 is 212485313916.

6193135842120 is a `hidden beast` number, since 6 + 1 + 93 + 135 + 8 + 421 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20209159 + ... + 20513321.

It is an arithmetic number, because the mean of its divisors is an integer number (85460578875).

Almost surely, 2^{6193135842120} is an apocalyptic number.

6193135842120 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 6193135842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938954096000).

6193135842120 is an abundant number, since it is smaller than the sum of its proper divisors (15684772349880).

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

6193135842120 is a wasteful number, since it uses less digits than its factorization.

6193135842120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305309 (or 305299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6193135842120 in words is "six trillion, one hundred ninety-three billion, one hundred thirty-five million, eight hundred forty-two thousand, one hundred twenty".