122122122121220 has 192 divisors, whose sum is σ = 283922913548736. Its totient is φ = 43835731476480.

The previous prime is 122122122121199. The next prime is 122122122121249. The reversal of 122122122121220 is 22121221221221.

It can be written as a sum of positive squares in 32 ways, for example, as 110051681264704 + 12070440856516 = 10490552^2 + 3474254^2 .

It is a super-2 number, since 2×122122122121220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4838998442 + ... + 4839023678.

It is an arithmetic number, because the mean of its divisors is an integer number (1478765174733).

Almost surely, 2^{122122122121220} is an apocalyptic number.

122122122121220 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 122122122121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141961456774368).

122122122121220 is an abundant number, since it is smaller than the sum of its proper divisors (161800791427516).

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

122122122121220 is a wasteful number, since it uses less digits than its factorization.

122122122121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26890 (or 26888 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 122122122121220 its reverse (22121221221221), we get a palindrome (144243343342441).

The spelling of 122122122121220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".