1099974127200 has 288 divisors, whose sum is σ = 3886207266816. Its totient is φ = 268629903360.

The previous prime is 1099974127199. The next prime is 1099974127207. The reversal of 1099974127200 is 27214799901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099974127207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3823599 + ... + 4101201.

It is an arithmetic number, because the mean of its divisors is an integer number (13493775232).

Almost surely, 2^{1099974127200} is an apocalyptic number.

1099974127200 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 1099974127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943103633408).

1099974127200 is an abundant number, since it is smaller than the sum of its proper divisors (2786233139616).

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

1099974127200 is a wasteful number, since it uses less digits than its factorization.

1099974127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277766 (or 277753 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 1099974127200 in words is "one trillion, ninety-nine billion, nine hundred seventy-four million, one hundred twenty-seven thousand, two hundred".