10001120311200 has 72 divisors (see below), whose sum is σ = 32553646620768. Its totient is φ = 2666965415680.

The previous prime is 10001120311177. The next prime is 10001120311201. The reversal of 10001120311200 is 211302110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001120311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2083564332 + ... + 2083569131.

It is an arithmetic number, because the mean of its divisors is an integer number (452133980844).

Almost surely, 2^{10001120311200} is an apocalyptic number.

10001120311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001120311200 is an abundant number, since it is smaller than the sum of its proper divisors (22552526309568).

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

10001120311200 is a wasteful number, since it uses less digits than its factorization.

10001120311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167133486 (or 4167133473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10001120311200 its reverse (211302110001), we get a palindrome (10212422421201).

The spelling of 10001120311200 in words is "ten trillion, one billion, one hundred twenty million, three hundred eleven thousand, two hundred".