6121346757120 has 1280 divisors, whose sum is σ = 25336344084480. Its totient is φ = 1372055666688.

The previous prime is 6121346757101. The next prime is 6121346757133. The reversal of 6121346757120 is 217576431216.

6121346757120 is a `hidden beast` number, since 6 + 1 + 2 + 13 + 4 + 67 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×6121346757120² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 5631413217 + ... + 5631414303.

It is an arithmetic number, because the mean of its divisors is an integer number (19794018816).

Almost surely, 2^{6121346757120} is an apocalyptic number.

6121346757120 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 6121346757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668172042240).

6121346757120 is an abundant number, since it is smaller than the sum of its proper divisors (19214997327360).

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

6121346757120 is a wasteful number, since it uses less digits than its factorization.

6121346757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6121346757120 in words is "six trillion, one hundred twenty-one billion, three hundred forty-six million, seven hundred fifty-seven thousand, one hundred twenty".