122221651098960 has 1280 divisors, whose sum is σ = 499131710668800. Its totient is φ = 26912515424256.

The previous prime is 122221651098931. The next prime is 122221651098977. The reversal of 122221651098960 is 69890156122221.

122221651098960 is a `hidden beast` number, since 1 + 2 + 2 + 22 + 16 + 510 + 9 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122221651098897 and 122221651098906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14357055664 + ... + 14357064176.

It is an arithmetic number, because the mean of its divisors is an integer number (389946648960).

Almost surely, 2^{122221651098960} is an apocalyptic number.

122221651098960 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 122221651098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249565855334400).

122221651098960 is an abundant number, since it is smaller than the sum of its proper divisors (376910059569840).

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

122221651098960 is a wasteful number, since it uses less digits than its factorization.

122221651098960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 122221651098960 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, six hundred fifty-one million, ninety-eight thousand, nine hundred sixty".