1261124400 has 240 divisors, whose sum is σ = 4184732160. Its totient is φ = 324480000.

The previous prime is 1261124387. The next prime is 1261124429. The reversal of 1261124400 is 44211621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5024275 + ... + 5024525.

It is an arithmetic number, because the mean of its divisors is an integer number (17436384).

Almost surely, 2^1261124400 is an apocalyptic number.

1261124400 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 1261124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092366080).

1261124400 is an abundant number, since it is smaller than the sum of its proper divisors (2923607760).

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

1261124400 is a wasteful number, since it uses less digits than its factorization.

1261124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1261124400 is about 35512.3133574821. The cubic root of 1261124400 is about 1080.4034843574.

The spelling of 1261124400 in words is "one billion, two hundred sixty-one million, one hundred twenty-four thousand, four hundred".