122211111220020 has 288 divisors, whose sum is σ = 378700628866560. Its totient is φ = 31894413788160.

The previous prime is 122211111219959. The next prime is 122211111220057. The reversal of 122211111220020 is 20022111112221.

122211111220020 is a `hidden beast` number, since 1 + 222 + 111 + 112 + 200 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122211111219975 and 122211111220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1105197454 + ... + 1105308026.

It is an arithmetic number, because the mean of its divisors is an integer number (1314932739120).

Almost surely, 2^{122211111220020} is an apocalyptic number.

122211111220020 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 122211111220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189350314433280).

122211111220020 is an abundant number, since it is smaller than the sum of its proper divisors (256489517646540).

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

122211111220020 is a wasteful number, since it uses less digits than its factorization.

122211111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111295 (or 111290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122211111220020 its reverse (20022111112221), we get a palindrome (142233222332241).

The spelling of 122211111220020 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred eleven million, two hundred twenty thousand, twenty".