961244313120 has 432 divisors, whose sum is σ = 4109323359960. Its totient is φ = 202811793408.

The previous prime is 961244313103. The next prime is 961244313121. The reversal of 961244313120 is 21313442169.

961244313120 is a `hidden beast` number, since 9 + 61 + 2 + 443 + 131 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 464202392976 + 497041920144 = 681324^2 + 705012^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (961244313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393316 + ... + 1441244.

Almost surely, 2^961244313120 is an apocalyptic number.

961244313120 is a gapful number since it is divisible by the number (90) 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 961244313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054661679980).

961244313120 is an abundant number, since it is smaller than the sum of its proper divisors (3148079046840).

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

961244313120 is a wasteful number, since it uses less digits than its factorization.

961244313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047977 (or 1047959 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 961244313120 its reverse (21313442169), we get a palindrome (982557755289).

The spelling of 961244313120 in words is "nine hundred sixty-one billion, two hundred forty-four million, three hundred thirteen thousand, one hundred twenty".