122221962720 has 1728 divisors, whose sum is σ = 543873657600. Its totient is φ = 25619742720.

The previous prime is 122221962647. The next prime is 122221962773. The reversal of 122221962720 is 27269122221.

It is a happy number.

122221962720 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 1 + 9 + 627 + 20 = 666.

It is a super-2 number, since 2×122221962720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1373280436 + ... + 1373280524.

It is an arithmetic number, because the mean of its divisors is an integer number (314741700).

Almost surely, 2^122221962720 is an apocalyptic number.

122221962720 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 122221962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271936828800).

122221962720 is an abundant number, since it is smaller than the sum of its proper divisors (421651694880).

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

122221962720 is a wasteful number, since it uses less digits than its factorization.

122221962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 122221962720 in words is "one hundred twenty-two billion, two hundred twenty-one million, nine hundred sixty-two thousand, seven hundred twenty".