122667210000 has 500 divisors, whose sum is σ = 455752996732. Its totient is φ = 31819392000.

The previous prime is 122667209999. The next prime is 122667210023. The reversal of 122667210000 is 12766221.

It can be written as a sum of positive squares in 10 ways, for example, as 73425824784 + 49241385216 = 270972^2 + 221904^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 29967954 + ... + 29972046.

Almost surely, 2^122667210000 is an apocalyptic number.

122667210000 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 122667210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227876498366).

122667210000 is an abundant number, since it is smaller than the sum of its proper divisors (333085786732).

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

122667210000 is an equidigital number, since it uses as much as digits as its factorization.

122667210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 122667210000 its reverse (12766221), we get a palindrome (122679976221).

The spelling of 122667210000 in words is "one hundred twenty-two billion, six hundred sixty-seven million, two hundred ten thousand".