1161142020 has 192 divisors, whose sum is σ = 3810240000. Its totient is φ = 293110272.

The previous prime is 1161141953. The next prime is 1161142039. The reversal of 1161142020 is 202411611.

1161142020 is a `hidden beast` number, since 11 + 611 + 4 + 20 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1161141984 and 1161142002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829281 + ... + 830679.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 2^1161142020 is an apocalyptic number.

1161142020 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 1161142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120000).

1161142020 is an abundant number, since it is smaller than the sum of its proper divisors (2649097980).

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

1161142020 is a wasteful number, since it uses less digits than its factorization.

1161142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1161142020 is about 34075.5340383683. The cubic root of 1161142020 is about 1051.0622718892.

Adding to 1161142020 its reverse (202411611), we get a palindrome (1363553631).

The spelling of 1161142020 in words is "one billion, one hundred sixty-one million, one hundred forty-two thousand, twenty".