11302212111300 has 216 divisors, whose sum is σ = 38650175709600. Its totient is φ = 2739684902400.

The previous prime is 11302212111269. The next prime is 11302212111313. The reversal of 11302212111300 is 311121220311.

11302212111300 is a `hidden beast` number, since 1 + 1 + 30 + 221 + 2 + 111 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126308976 + ... + 126398424.

Almost surely, 2^{11302212111300} is an apocalyptic number.

11302212111300 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 11302212111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325087854800).

11302212111300 is an abundant number, since it is smaller than the sum of its proper divisors (27347963598300).

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

11302212111300 is a wasteful number, since it uses less digits than its factorization.

11302212111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102243 (or 102233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11302212111300 its reverse (311121220311), we get a palindrome (11613333331611).

The spelling of 11302212111300 in words is "eleven trillion, three hundred two billion, two hundred twelve million, one hundred eleven thousand, three hundred".