11312210302200 has 288 divisors, whose sum is σ = 38457704844000. Its totient is φ = 2979607680000.

The previous prime is 11312210302199. The next prime is 11312210302207. The reversal of 11312210302200 is 220301221311.

11312210302200 is a `hidden beast` number, since 1 + 131 + 2 + 210 + 302 + 20 + 0 = 666.

It is a super-2 number, since 2×11312210302200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312210302207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76463901 + ... + 76611699.

It is an arithmetic number, because the mean of its divisors is an integer number (133533697375).

Almost surely, 2^{11312210302200} is an apocalyptic number.

11312210302200 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 11312210302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228852422000).

11312210302200 is an abundant number, since it is smaller than the sum of its proper divisors (27145494541800).

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

11312210302200 is a wasteful number, since it uses less digits than its factorization.

11312210302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148343 (or 148331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312210302200 its reverse (220301221311), we get a palindrome (11532511523511).

The spelling of 11312210302200 in words is "eleven trillion, three hundred twelve billion, two hundred ten million, three hundred two thousand, two hundred".