6101222400 has 1056 divisors, whose sum is σ = 27860161280. Its totient is φ = 1274019840.

The previous prime is 6101222389. The next prime is 6101222459. The reversal of 6101222400 is 42221016.

6101222400 is a `hidden beast` number, since 610 + 12 + 2 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62899152 + ... + 62899248.

Almost surely, 2^6101222400 is an apocalyptic number.

6101222400 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 6101222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930080640).

6101222400 is an abundant number, since it is smaller than the sum of its proper divisors (21758938880).

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

6101222400 is a wasteful number, since it uses less digits than its factorization.

6101222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6101222400 is about 78110.3219811569. The cubic root of 6101222400 is about 1827.2821790151.

Adding to 6101222400 its reverse (42221016), we get a palindrome (6143443416).

The spelling of 6101222400 in words is "six billion, one hundred one million, two hundred twenty-two thousand, four hundred".