1292485200 has 120 divisors (see below), whose sum is σ = 4180857408. Its totient is φ = 341283840.

The previous prime is 1292485177. The next prime is 1292485217. The reversal of 1292485200 is 25842921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118372 + ... + 128828.

Almost surely, 2^1292485200 is an apocalyptic number.

1292485200 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 1292485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090428704).

1292485200 is an abundant number, since it is smaller than the sum of its proper divisors (2888372208).

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

1292485200 is a wasteful number, since it uses less digits than its factorization.

1292485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1292485200 is about 35951.1501902234. The cubic root of 1292485200 is about 1089.2858436723.

The spelling of 1292485200 in words is "one billion, two hundred ninety-two million, four hundred eighty-five thousand, two hundred".