1005121200 has 60 divisors (see below), whose sum is σ = 3219742088. Its totient is φ = 268032000.

The previous prime is 1005121199. The next prime is 1005121207. The reversal of 1005121200 is 21215001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1005121207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417601 + ... + 420000.

Almost surely, 2^1005121200 is an apocalyptic number.

1005121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005121200 is an abundant number, since it is smaller than the sum of its proper divisors (2214620888).

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

1005121200 is a wasteful number, since it uses less digits than its factorization.

1005121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837622 (or 837611 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1005121200 is about 31703.6464779684. The cubic root of 1005121200 is about 1001.7041608527.

Adding to 1005121200 its reverse (21215001), we get a palindrome (1026336201).

The spelling of 1005121200 in words is "one billion, five million, one hundred twenty-one thousand, two hundred".