122221100001000 has 2048 divisors, whose sum is σ = 531088036577280. Its totient is φ = 22581504000000.

The previous prime is 122221100000969. The next prime is 122221100001029. The reversal of 122221100001000 is 100001122221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11222205555 + ... + 11222216445.

It is an arithmetic number, because the mean of its divisors is an integer number (259320330360).

Almost surely, 2^{122221100001000} is an apocalyptic number.

122221100001000 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 122221100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265544018288640).

122221100001000 is an abundant number, since it is smaller than the sum of its proper divisors (408866936576280).

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

122221100001000 is a wasteful number, since it uses less digits than its factorization.

122221100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122221100001000 its reverse (100001122221), we get a palindrome (122321101123221).

It can be divided in two parts, 122 and 221100001000, that added together give a palindrome (221100001122).

The spelling of 122221100001000 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred million, one thousand".