1126119553200 has 480 divisors, whose sum is σ = 4249316280320. Its totient is φ = 282754022400.

The previous prime is 1126119553193. The next prime is 1126119553201. The reversal of 1126119553200 is 23559116211.

It is a happy number.

1126119553200 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 119 + 5 + 532 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1126119553201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12342147 + ... + 12433053.

Almost surely, 2^{1126119553200} is an apocalyptic number.

1126119553200 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 1126119553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124658140160).

1126119553200 is an abundant number, since it is smaller than the sum of its proper divisors (3123196727120).

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

1126119553200 is a wasteful number, since it uses less digits than its factorization.

1126119553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91002 (or 90985 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1126119553200 in words is "one trillion, one hundred twenty-six billion, one hundred nineteen million, five hundred fifty-three thousand, two hundred".