122111121211020 has 108 divisors (see below), whose sum is σ = 393473863290144. Its totient is φ = 30647497075200.

The previous prime is 122111121211019. The next prime is 122111121211021. The reversal of 122111121211020 is 20112121111221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122111121211019) and next prime (122111121211021).

It is a super-2 number, since 2×122111121211020² (a number of 29 digits) contains 22 as substring.

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 = 122111121210984 and 122111121211002.

It is not an unprimeable number, because it can be changed into a prime (122111121211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1173641956 + ... + 1173745995.

Almost surely, 2^{122111121211020} is an apocalyptic number.

122111121211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111121211020 is an abundant number, since it is smaller than the sum of its proper divisors (271362742079124).

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

122111121211020 is a wasteful number, since it uses less digits than its factorization.

122111121211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347388000 (or 2347387978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111121211020 its reverse (20112121111221), we get a palindrome (142223242322241).

The spelling of 122111121211020 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, twenty".