11123120310000 has 400 divisors, whose sum is σ = 36240701363328. Its totient is φ = 2938723200000.

The previous prime is 11123120309981. The next prime is 11123120310157. The reversal of 11123120310000 is 1302132111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×11123120310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1436906130 + ... + 1436913870.

Almost surely, 2^{11123120310000} is an apocalyptic number.

11123120310000 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 11123120310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120350681664).

11123120310000 is an abundant number, since it is smaller than the sum of its proper divisors (25117581053328).

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

11123120310000 is a wasteful number, since it uses less digits than its factorization.

11123120310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11123120310000 its reverse (1302132111), we get a palindrome (11124422442111).

The spelling of 11123120310000 in words is "eleven trillion, one hundred twenty-three billion, one hundred twenty million, three hundred ten thousand".