1135153021200 has 120 divisors (see below), whose sum is σ = 3966843876576. Its totient is φ = 275188608000.

The previous prime is 1135153021069. The next prime is 1135153021201. The reversal of 1135153021200 is 21203515311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1135153021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42985021 + ... + 43011420.

Almost surely, 2^{1135153021200} is an apocalyptic number.

1135153021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135153021200 is an abundant number, since it is smaller than the sum of its proper divisors (2831690855376).

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

1135153021200 is a wasteful number, since it uses less digits than its factorization.

1135153021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85996473 (or 85996462 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1135153021200 its reverse (21203515311), we get a palindrome (1156356536511).

The spelling of 1135153021200 in words is "one trillion, one hundred thirty-five billion, one hundred fifty-three million, twenty-one thousand, two hundred".