132222121212096 has 280 divisors, whose sum is σ = 394367884384320. Its totient is φ = 43802192199168.

The previous prime is 132222121212079. The next prime is 132222121212107. The reversal of 132222121212096 is 690212121222231.

132222121212096 is a `hidden beast` number, since 1 + 3 + 222 + 212 + 1 + 212 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132222121212096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1621063411 + ... + 1621144973.

It is an arithmetic number, because the mean of its divisors is an integer number (1408456729944).

Almost surely, 2^{132222121212096} is an apocalyptic number.

132222121212096 is a gapful number since it is divisible by the number (16) 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 132222121212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197183942192160).

132222121212096 is an abundant number, since it is smaller than the sum of its proper divisors (262145763172224).

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

132222121212096 is a wasteful number, since it uses less digits than its factorization.

132222121212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83513 (or 83494 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132222121212096 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, ninety-six".