11322332214120 has 256 divisors, whose sum is σ = 38844918144000. Its totient is φ = 2931336511488.

The previous prime is 11322332214107. The next prime is 11322332214139. The reversal of 11322332214120 is 2141223322311.

11322332214120 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 23 + 3 + 221 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18195496 + ... + 18807464.

It is an arithmetic number, because the mean of its divisors is an integer number (151737961500).

Almost surely, 2^{11322332214120} is an apocalyptic number.

11322332214120 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 11322332214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422459072000).

11322332214120 is an abundant number, since it is smaller than the sum of its proper divisors (27522585929880).

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

11322332214120 is a wasteful number, since it uses less digits than its factorization.

11322332214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612489 (or 612479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11322332214120 its reverse (2141223322311), we get a palindrome (13463555536431).

The spelling of 11322332214120 in words is "eleven trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred fourteen thousand, one hundred twenty".