6120574351200 has 648 divisors, whose sum is σ = 22244659485048. Its totient is φ = 1582720634880.

The previous prime is 6120574351193. The next prime is 6120574351261. The reversal of 6120574351200 is 21534750216.

6120574351200 is a `hidden beast` number, since 6 + 1 + 205 + 7 + 435 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×6120574351200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9919893292 + ... + 9919893908.

Almost surely, 2^{6120574351200} is an apocalyptic number.

6120574351200 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 6120574351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122329742524).

6120574351200 is an abundant number, since it is smaller than the sum of its proper divisors (16124085133848).

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

6120574351200 is a wasteful number, since it uses less digits than its factorization.

6120574351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 6120574351200 in words is "six trillion, one hundred twenty billion, five hundred seventy-four million, three hundred fifty-one thousand, two hundred".