122201011132200 has 3456 divisors, whose sum is σ = 572837456056320. Its totient is φ = 22543731302400.

The previous prime is 122201011132139. The next prime is 122201011132201. The reversal of 122201011132200 is 2231110102221.

122201011132200 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 111 + 322 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122201011132201) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 263933069169 + ... + 263933069631.

It is an arithmetic number, because the mean of its divisors is an integer number (165751578720).

Almost surely, 2^{122201011132200} is an apocalyptic number.

122201011132200 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 122201011132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286418728028160).

122201011132200 is an abundant number, since it is smaller than the sum of its proper divisors (450636444924120).

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

122201011132200 is a wasteful number, since it uses less digits than its factorization.

122201011132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122201011132200 its reverse (2231110102221), we get a palindrome (124432121234421).

The spelling of 122201011132200 in words is "one hundred twenty-two trillion, two hundred one billion, eleven million, one hundred thirty-two thousand, two hundred".