1011411200 has 108 divisors (see below), whose sum is σ = 2612624448. Its totient is φ = 386918400.

The previous prime is 1011411197. The next prime is 1011411227. The reversal of 1011411200 is 21141101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143765 + ... + 150635.

Almost surely, 2^1011411200 is an apocalyptic number.

1011411200 is a gapful number since it is divisible by the number (10) 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 1011411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306312224).

1011411200 is an abundant number, since it is smaller than the sum of its proper divisors (1601213248).

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

1011411200 is an equidigital number, since it uses as much as digits as its factorization.

1011411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1011411200 is about 31802.6917099795. The cubic root of 1011411200 is about 1003.7893559772.

Adding to 1011411200 its reverse (21141101), we get a palindrome (1032552301).

The spelling of 1011411200 in words is "one billion, eleven million, four hundred eleven thousand, two hundred".