961142112 has 120 divisors (see below), whose sum is σ = 3230566416. Its totient is φ = 274606848.

The previous prime is 961142093. The next prime is 961142129. The reversal of 961142112 is 211241169.

961142112 is a `hidden beast` number, since 9 + 611 + 42 + 1 + 1 + 2 = 666.

961142112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8343 + ... + 44630.

Almost surely, 2^961142112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615283208).

961142112 is an abundant number, since it is smaller than the sum of its proper divisors (2269424304).

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

961142112 is a wasteful number, since it uses less digits than its factorization.

961142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53002 (or 52985 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 961142112 is about 31002.2920442989. The cubic root of 961142112 is about 986.8758816956.

The spelling of 961142112 in words is "nine hundred sixty-one million, one hundred forty-two thousand, one hundred twelve".