1225050512400 has 2025 divisors, whose sum is σ = 5357499049287. Its totient is φ = 267761894400.

The previous prime is 1225050512381. The next prime is 1225050512423. The reversal of 1225050512400 is 42150505221.

The square root of 1225050512400 is 1106820.

It is a perfect power (a square), and thus also a powerful number.

1225050512400 is a `hidden beast` number, since 1 + 2 + 250 + 5 + 0 + 5 + 1 + 2 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 315758581776 + 909291930624 = 561924^2 + 953568^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 28489546779 + ... + 28489546821.

Almost surely, 2^{1225050512400} is an apocalyptic number.

1225050512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225050512400 is the 1106820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225050512400

1225050512400 is an abundant number, since it is smaller than the sum of its proper divisors (4132448536887).

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

1225050512400 is a wasteful number, since it uses less digits than its factorization.

1225050512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1225050512400 in words is "one trillion, two hundred twenty-five billion, fifty million, five hundred twelve thousand, four hundred".