6121315200 has 1152 divisors, whose sum is σ = 27775008000. Its totient is φ = 1174118400.

The previous prime is 6121315183. The next prime is 6121315217. The reversal of 6121315200 is 25131216.

It is an interprime number because it is at equal distance from previous prime (6121315183) and next prime (6121315217).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470870394 + ... + 470870406.

It is an arithmetic number, because the mean of its divisors is an integer number (24110250).

Almost surely, 2^6121315200 is an apocalyptic number.

6121315200 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 6121315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887504000).

6121315200 is an abundant number, since it is smaller than the sum of its proper divisors (21653692800).

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

6121315200 is a wasteful number, since it uses less digits than its factorization.

6121315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6121315200 is about 78238.8343471450. The cubic root of 6121315200 is about 1829.2858750241.

Adding to 6121315200 its reverse (25131216), we get a palindrome (6146446416).

The spelling of 6121315200 in words is "six billion, one hundred twenty-one million, three hundred fifteen thousand, two hundred".