1225099468800 has 1008 divisors, whose sum is σ = 4614249669120. Its totient is φ = 322167767040.

The previous prime is 1225099468787. The next prime is 1225099468837. The reversal of 1225099468800 is 88649905221.

It is a happy number.

1225099468800 is a `hidden beast` number, since 12 + 2 + 5 + 0 + 99 + 468 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5125939081 + ... + 5125939319.

It is an arithmetic number, because the mean of its divisors is an integer number (4577628640).

Almost surely, 2^{1225099468800} is an apocalyptic number.

1225099468800 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 1225099468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307124834560).

1225099468800 is an abundant number, since it is smaller than the sum of its proper divisors (3389150200320).

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

1225099468800 is an equidigital number, since it uses as much as digits as its factorization.

1225099468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1225099468800 in words is "one trillion, two hundred twenty-five billion, ninety-nine million, four hundred sixty-eight thousand, eight hundred".