122232212100000 has 432 divisors, whose sum is σ = 446212049335416. Its totient is φ = 31714295040000.

The previous prime is 122232212099999. The next prime is 122232212100013. The reversal of 122232212100000 is 1212232221.

122232212100000 is a `hidden beast` number, since 1 + 222 + 322 + 121 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 38538916352784 + 83693295747216 = 6207972^2 + 9148404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31464682 + ... + 35135318.

Almost surely, 2^{122232212100000} is an apocalyptic number.

122232212100000 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 122232212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223106024667708).

122232212100000 is an abundant number, since it is smaller than the sum of its proper divisors (323979837235416).

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

122232212100000 is an equidigital number, since it uses as much as digits as its factorization.

122232212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670715 (or 3670684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122232212100000 its reverse (1212232221), we get a palindrome (122233424332221).

The spelling of 122232212100000 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred twelve million, one hundred thousand".