1225565140800 has 672 divisors, whose sum is σ = 5398678462464. Its totient is φ = 235072512000.

The previous prime is 1225565140783. The next prime is 1225565140817. The reversal of 1225565140800 is 80415655221.

It is an interprime number because it is at equal distance from previous prime (1225565140783) and next prime (1225565140817).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4677265 + ... + 4932335.

It is an arithmetic number, because the mean of its divisors is an integer number (8033747712).

Almost surely, 2^{1225565140800} is an apocalyptic number.

1225565140800 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 1225565140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699339231232).

1225565140800 is an abundant number, since it is smaller than the sum of its proper divisors (4173113321664).

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

1225565140800 is a wasteful number, since it uses less digits than its factorization.

1225565140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255127 (or 255112 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 1225565140800 in words is "one trillion, two hundred twenty-five billion, five hundred sixty-five million, one hundred forty thousand, eight hundred".