1292261280 has 96 divisors (see below), whose sum is σ = 4087879488. Its totient is φ = 343142400.

The previous prime is 1292261251. The next prime is 1292261281. The reversal of 1292261280 is 821622921.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1292261281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110095 + ... + 121265.

It is an arithmetic number, because the mean of its divisors is an integer number (42582078).

Almost surely, 2^1292261280 is an apocalyptic number.

1292261280 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 1292261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043939744).

1292261280 is an abundant number, since it is smaller than the sum of its proper divisors (2795618208).

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

1292261280 is a wasteful number, since it uses less digits than its factorization.

1292261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1292261280 is about 35948.0358295137. The cubic root of 1292261280 is about 1089.2229346417. Note that the first 3 decimals are identical.

The spelling of 1292261280 in words is "one billion, two hundred ninety-two million, two hundred sixty-one thousand, two hundred eighty".