1290120960 has 144 divisors (see below), whose sum is σ = 4144250880. Its totient is φ = 342036480.

The previous prime is 1290120929. The next prime is 1290120961. The reversal of 1290120960 is 690210921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290120961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732561 + ... + 734319.

It is an arithmetic number, because the mean of its divisors is an integer number (28779520).

Almost surely, 2^1290120960 is an apocalyptic number.

1290120960 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 1290120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072125440).

1290120960 is an abundant number, since it is smaller than the sum of its proper divisors (2854129920).

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

1290120960 is a wasteful number, since it uses less digits than its factorization.

1290120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1290120960 is about 35918.2538551083. The cubic root of 1290120960 is about 1088.6212570696.

The spelling of 1290120960 in words is "one billion, two hundred ninety million, one hundred twenty thousand, nine hundred sixty".