1295961120 has 360 divisors, whose sum is σ = 4844477484. Its totient is φ = 326218752.

The previous prime is 1295961113. The next prime is 1295961131. The reversal of 1295961120 is 211695921.

1295961120 is a `hidden beast` number, since 12 + 9 + 5 + 9 + 611 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1216893456 + 79067664 = 34884^2 + 8892^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678422 + ... + 4678698.

Almost surely, 2^1295961120 is an apocalyptic number.

1295961120 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 1295961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422238742).

1295961120 is an abundant number, since it is smaller than the sum of its proper divisors (3548516364).

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

1295961120 is a wasteful number, since it uses less digits than its factorization.

1295961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1295961120 is about 35999.4599959499. The cubic root of 1295961120 is about 1090.2614528667.

The spelling of 1295961120 in words is "one billion, two hundred ninety-five million, nine hundred sixty-one thousand, one hundred twenty".