122322200111100 has 432 divisors, whose sum is σ = 420086082832416. Its totient is φ = 29525179392000.

The previous prime is 122322200111081. The next prime is 122322200111101. The reversal of 122322200111100 is 1111002223221.

122322200111100 is a `hidden beast` number, since 1 + 2 + 232 + 220 + 0 + 111 + 100 = 666.

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 (122322200111101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2689500360 + ... + 2689545840.

It is an arithmetic number, because the mean of its divisors is an integer number (972421488038).

Almost surely, 2^{122322200111100} is an apocalyptic number.

122322200111100 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 122322200111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210043041416208).

122322200111100 is an abundant number, since it is smaller than the sum of its proper divisors (297763882721316).

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

122322200111100 is a wasteful number, since it uses less digits than its factorization.

122322200111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46686 (or 46676 counting only the distinct ones).

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

Adding to 122322200111100 its reverse (1111002223221), we get a palindrome (123433202334321).

The spelling of 122322200111100 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred million, one hundred eleven thousand, one hundred".