122010221012220 has 288 divisors, whose sum is σ = 380911330223424. Its totient is φ = 31598042112000.

The previous prime is 122010221012213. The next prime is 122010221012257. The reversal of 122010221012220 is 22210122010221.

It is a happy number.

122010221012220 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 2 + 210 + 12 + 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 = 122010221012193 and 122010221012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4394692059 + ... + 4394719821.

It is an arithmetic number, because the mean of its divisors is an integer number (1322608785498).

Almost surely, 2^{122010221012220} is an apocalyptic number.

122010221012220 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 122010221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190455665111712).

122010221012220 is an abundant number, since it is smaller than the sum of its proper divisors (258901109211204).

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

122010221012220 is a wasteful number, since it uses less digits than its factorization.

122010221012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32493 (or 32488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122010221012220 its reverse (22210122010221), we get a palindrome (144220343022441).

The spelling of 122010221012220 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-one million, twelve thousand, two hundred twenty".