11310002101200 has 120 divisors (see below), whose sum is σ = 39523316479776. Its totient is φ = 2741818688000.

The previous prime is 11310002101183. The next prime is 11310002101201. The reversal of 11310002101200 is 210120001311.

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

It is a super-2 number, since 2×11310002101200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310002101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428395971 + ... + 428422370.

Almost surely, 2^{11310002101200} is an apocalyptic number.

11310002101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310002101200 is an abundant number, since it is smaller than the sum of its proper divisors (28213314378576).

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

11310002101200 is a wasteful number, since it uses less digits than its factorization.

11310002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856818373 (or 856818362 counting only the distinct ones).

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

Adding to 11310002101200 its reverse (210120001311), we get a palindrome (11520122102511).

The spelling of 11310002101200 in words is "eleven trillion, three hundred ten billion, two million, one hundred one thousand, two hundred".