11200122012000 has 384 divisors, whose sum is σ = 37081999438848. Its totient is φ = 2955015168000.

The previous prime is 11200122011983. The next prime is 11200122012017. The reversal of 11200122012000 is 21022100211.

It is an interprime number because it is at equal distance from previous prime (11200122011983) and next prime (11200122012017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795964965 + ... + 795979035.

It is an arithmetic number, because the mean of its divisors is an integer number (96567706872).

Almost surely, 2^{11200122012000} is an apocalyptic number.

11200122012000 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 11200122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540999719424).

11200122012000 is an abundant number, since it is smaller than the sum of its proper divisors (25881877426848).

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

11200122012000 is a wasteful number, since it uses less digits than its factorization.

11200122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200122012000 its reverse (21022100211), we get a palindrome (11221144112211).

The spelling of 11200122012000 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, twelve thousand".