122202100000 has 144 divisors (see below), whose sum is σ = 306399592296. Its totient is φ = 47956480000.

The previous prime is 122202099997. The next prime is 122202100021. The reversal of 122202100000 is 1202221.

122202100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 14047938576 + 108154161424 = 118524^2 + 328868^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 122202100000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5288472 + ... + 5311528.

Almost surely, 2^122202100000 is an apocalyptic number.

122202100000 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 122202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153199796148).

122202100000 is an abundant number, since it is smaller than the sum of its proper divisors (184197492296).

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

122202100000 is an frugal number, since it uses more digits than its factorization.

122202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23145 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122202100000 its reverse (1202221), we get a palindrome (122203302221).

The spelling of 122202100000 in words is "one hundred twenty-two billion, two hundred two million, one hundred thousand".