1260122572800 has 3024 divisors, whose sum is σ = 5979053136420. Its totient is φ = 260855562240.

The previous prime is 1260122572783. The next prime is 1260122572829. The reversal of 1260122572800 is 82752210621.

It is a happy number.

1260122572800 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 2 + 2 + 572 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 358503957504 + 901618615296 = 598752^2 + 949536^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

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 251 ways as a sum of consecutive naturals, for example, 23775897574 + ... + 23775897626.

Almost surely, 2^{1260122572800} is an apocalyptic number.

1260122572800 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 1260122572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989526568210).

1260122572800 is an abundant number, since it is smaller than the sum of its proper divisors (4718930563620).

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

1260122572800 is an equidigital number, since it uses as much as digits as its factorization.

1260122572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1260122572800 in words is "one trillion, two hundred sixty billion, one hundred twenty-two million, five hundred seventy-two thousand, eight hundred".