1154245213200 has 120 divisors (see below), whose sum is σ = 3699710970208. Its totient is φ = 307609021440.

The previous prime is 1154245213153. The next prime is 1154245213211. The reversal of 1154245213200 is 23125424511.

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

It is a super-2 number, since 2×1154245213200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656804 + ... + 2247996.

Almost surely, 2^{1154245213200} is an apocalyptic number.

1154245213200 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 1154245213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849855485104).

1154245213200 is an abundant number, since it is smaller than the sum of its proper divisors (2545465757008).

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

1154245213200 is a wasteful number, since it uses less digits than its factorization.

1154245213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592841 (or 592830 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1154245213200 in words is "one trillion, one hundred fifty-four billion, two hundred forty-five million, two hundred thirteen thousand, two hundred".