22122121300000 has 72 divisors (see below), whose sum is σ = 54437673898692. Its totient is φ = 8848848480000.

The previous prime is 22122121299931. The next prime is 22122121300001. The reversal of 22122121300000 is 312122122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 168136081936 + 21953985218064 = 410044^2 + 4685508^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22122121300001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110510607 + ... + 110710606.

Almost surely, 2^{22122121300000} is an apocalyptic number.

22122121300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122121300000 is an abundant number, since it is smaller than the sum of its proper divisors (32315552598692).

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

22122121300000 is an frugal number, since it uses more digits than its factorization.

22122121300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221221248 (or 221221220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22122121300000 its reverse (312122122), we get a palindrome (22122433422122).

The spelling of 22122121300000 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred thousand".