1131211872 has 192 divisors, whose sum is σ = 3788467200. Its totient is φ = 321684480.

The previous prime is 1131211871. The next prime is 1131211883. The reversal of 1131211872 is 2781121311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131211871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170972 + ... + 2171492.

It is an arithmetic number, because the mean of its divisors is an integer number (19731600).

Almost surely, 2^1131211872 is an apocalyptic number.

1131211872 is a gapful number since it is divisible by the number (12) 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 1131211872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894233600).

1131211872 is an abundant number, since it is smaller than the sum of its proper divisors (2657255328).

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

1131211872 is a wasteful number, since it uses less digits than its factorization.

1131211872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 1131211872 is about 33633.4933065241. The cubic root of 1131211872 is about 1041.9526529990.

The spelling of 1131211872 in words is "one billion, one hundred thirty-one million, two hundred eleven thousand, eight hundred seventy-two".