122233211100 has 1728 divisors, whose sum is σ = 559007554560. Its totient is φ = 21499084800.

The previous prime is 122233211059. The next prime is 122233211101. The reversal of 122233211100 is 1112332221.

122233211100 is a `hidden beast` number, since 1 + 222 + 332 + 1 + 110 + 0 = 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 (122233211101) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 633332604 + ... + 633332796.

Almost surely, 2^122233211100 is an apocalyptic number.

122233211100 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 122233211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279503777280).

122233211100 is an abundant number, since it is smaller than the sum of its proper divisors (436774343460).

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

122233211100 is a wasteful number, since it uses less digits than its factorization.

122233211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122233211100 its reverse (1112332221), we get a palindrome (123345543321).

It can be divided in two parts, 122233 and 211100, that added together give a palindrome (333333).

The spelling of 122233211100 in words is "one hundred twenty-two billion, two hundred thirty-three million, two hundred eleven thousand, one hundred".