122002022012220 has 240 divisors, whose sum is σ = 437828286802368. Its totient is φ = 27858861204480.

The previous prime is 122002022012173. The next prime is 122002022012251. The reversal of 122002022012220 is 22210220200221.

122002022012220 is a `hidden beast` number, since 1 + 2 + 200 + 20 + 220 + 1 + 2 + 220 = 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 = 122002022012193 and 122002022012202.

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 79 ways as a sum of consecutive naturals, for example, 6309504 + ... + 16846776.

Almost surely, 2^{122002022012220} is an apocalyptic number.

122002022012220 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 122002022012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218914143401184).

122002022012220 is an abundant number, since it is smaller than the sum of its proper divisors (315826264790148).

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

122002022012220 is a wasteful number, since it uses less digits than its factorization.

122002022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538322 (or 10538311 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122002022012220 its reverse (22210220200221), we get a palindrome (144212242212441).

The spelling of 122002022012220 in words is "one hundred twenty-two trillion, two billion, twenty-two million, twelve thousand, two hundred twenty".