11122010212200 has 192 divisors, whose sum is σ = 36949645964160. Its totient is φ = 2760244945920.

The previous prime is 11122010212199. The next prime is 11122010212213. The reversal of 11122010212200 is 221201022111.

It is a super-2 number, since 2×11122010212200² (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 self number, because there is not a number n which added to its sum of digits gives 11122010212200.

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, 10380519 + ... + 11401718.

It is an arithmetic number, because the mean of its divisors is an integer number (192446072730).

Almost surely, 2^{11122010212200} is an apocalyptic number.

11122010212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122010212200 is an abundant number, since it is smaller than the sum of its proper divisors (25827635751960).

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

11122010212200 is a wasteful number, since it uses less digits than its factorization.

11122010212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21782316 (or 21782307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11122010212200 its reverse (221201022111), we get a palindrome (11343211234311).

The spelling of 11122010212200 in words is "eleven trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, two hundred".