1102252141200 has 240 divisors, whose sum is σ = 4090572857216. Its totient is φ = 248491929600.

The previous prime is 1102252141169. The next prime is 1102252141223. The reversal of 1102252141200 is 21412522011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285571 + ... + 1511970.

Almost surely, 2^{1102252141200} is an apocalyptic number.

1102252141200 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 1102252141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045286428608).

1102252141200 is an abundant number, since it is smaller than the sum of its proper divisors (2988320716016).

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

1102252141200 is a wasteful number, since it uses less digits than its factorization.

1102252141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797642 (or 1797631 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 1102252141200 its reverse (21412522011), we get a palindrome (1123664663211).

The spelling of 1102252141200 in words is "one trillion, one hundred two billion, two hundred fifty-two million, one hundred forty-one thousand, two hundred".